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46540019460 = 223511247136393
BaseRepresentation
bin101011010110000000…
…000101011100000100
311110010110020221121110
4223112000011130010
51230303221110320
633214042045020
73235206431634
oct532600053404
9143113227543
1046540019460
111881269a500
12902a1a9770
134508ca5a6c
142376dcc6c4
151325c405e0
hexad6005704

46540019460 has 144 divisors (see below), whose sum is σ = 146284201728. Its totient is φ = 11042296320.

The previous prime is 46540019459. The next prime is 46540019467. The reversal of 46540019460 is 6491004564.

It is a super-3 number, since 3×465400194603 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (46540019467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273024 + ... + 409416.

It is an arithmetic number, because the mean of its divisors is an integer number (1015862512).

Almost surely, 246540019460 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 46540019460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73142100864).

46540019460 is an abundant number, since it is smaller than the sum of its proper divisors (99744182268).

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

46540019460 is a wasteful number, since it uses less digits than its factorization.

46540019460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136474 (or 136461 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 46540019460 in words is "forty-six billion, five hundred forty million, nineteen thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 47 55 60 66 94 110 121 132 141 165 188 220 235 242 282 330 363 470 484 517 564 605 660 705 726 940 1034 1210 1410 1452 1551 1815 2068 2420 2585 2820 3102 3630 5170 5687 6204 7260 7755 10340 11374 15510 17061 22748 28435 31020 34122 56870 68244 85305 113740 136393 170610 272786 341220 409179 545572 681965 818358 1363930 1500323 1636716 2045895 2727860 3000646 4091790 4500969 6001292 6410471 7501615 8183580 9001938 12820942 15003230 16503553 18003876 19231413 22504845 25641884 30006460 32052355 33007106 38462826 45009690 49510659 64104710 66014212 70515181 76925652 82517765 90019380 96157065 99021318 128209420 141030362 165035530 192314130 198042636 211545543 247553295 282060724 330071060 352575905 384628260 423091086 495106590 705151810 775666991 846182172 990213180 1057727715 1410303620 1551333982 2115455430 2327000973 3102667964 3878334955 4230910860 4654001946 7756669910 9308003892 11635004865 15513339820 23270009730 46540019460