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426515346124656 = 2431910110314491173
BaseRepresentation
bin110000011111010011101011…
…1101100100110111101110000
32001221011110122210220210101120
41200332213113230212331300
5421401011412101442111
64111042240044102240
7155560500612161235
oct14076472754467560
92057143583823346
10426515346124656
111139a0162723128
123ba05646534980
13153cb2bc485679
14774764aa7b78c
153449999e65406
hex183e9d7b26f70

426515346124656 has 160 divisors (see below), whose sum is σ = 1172442171041280. Its totient is φ = 133226126208000.

The previous prime is 426515346124649. The next prime is 426515346124691. The reversal of 426515346124656 is 656421643515624.

It is a super-2 number, since 2×4265153461246562 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 426515346124656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92721886 + ... + 97213058.

It is an arithmetic number, because the mean of its divisors is an integer number (7327763569008).

Almost surely, 2426515346124656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426515346124656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586221085520640).

426515346124656 is an abundant number, since it is smaller than the sum of its proper divisors (745926824916624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

426515346124656 is a wasteful number, since it uses less digits than its factorization.

426515346124656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4492335 (or 4492329 counting only the distinct ones).

The product of its digits is 124416000, while the sum is 60.

The spelling of 426515346124656 in words is "four hundred twenty-six trillion, five hundred fifteen billion, three hundred forty-six million, one hundred twenty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 101 114 152 202 228 303 304 404 456 606 808 912 1031 1212 1616 1919 2062 2424 3093 3838 4124 4848 5757 6186 7676 8248 11514 12372 15352 16496 19589 23028 24744 30704 39178 46056 49488 58767 78356 92112 104131 117534 156712 208262 235068 312393 313424 416524 470136 624786 833048 940272 1249572 1666096 1978489 2499144 3956978 4491173 4998288 5935467 7913956 8982346 11870934 13473519 15827912 17964692 23741868 26947038 31655824 35929384 47483736 53894076 71858768 85332287 94967472 107788152 170664574 215576304 255996861 341329148 453608473 511993722 682658296 907216946 1023987444 1360825419 1365316592 1814433892 2047974888 2721650838 3628867784 4095949776 4630399363 5443301676 7257735568 8618560987 9260798726 10886603352 13891198089 17237121974 18521597452 21773206704 25855682961 27782396178 34474243948 37043194904 51711365922 55564792356 68948487896 74086389808 87977587897 103422731844 111129584712 137896975792 175955175794 206845463688 222259169424 263932763691 351910351588 413690927376 467670335663 527865527382 703820703176 935340671326 1055731054764 1403011006989 1407641406352 1870681342652 2111462109528 2806022013978 3741362685304 4222924219056 5612044027956 7482725370608 8885736377597 11224088055912 17771472755194 22448176111824 26657209132791 35542945510388 53314418265582 71085891020776 106628836531164 142171782041552 213257673062328 426515346124656