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10327056784 = 2411315371503
BaseRepresentation
bin10011001111000101…
…00110000110010000
3222122201011211200121
421213202212012100
5132122211304114
64424424400024
7513625351162
oct114742460620
928581154617
1010327056784
11441a399680
122002616014
13c8769c6b5
146dd77a932
15406963a24
hex2678a6190

10327056784 has 160 divisors (see below), whose sum is σ = 23326507008. Its totient is φ = 4385472000.

The previous prime is 10327056769. The next prime is 10327056797. The reversal of 10327056784 is 48765072301.

It is a self number, because there is not a number n which added to its sum of digits gives 10327056784.

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, 20530677 + ... + 20531179.

Almost surely, 210327056784 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 10327056784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11663253504).

10327056784 is an abundant number, since it is smaller than the sum of its proper divisors (12999450224).

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

10327056784 is a wasteful number, since it uses less digits than its factorization.

10327056784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The spelling of 10327056784 in words is "ten billion, three hundred twenty-seven million, fifty-six thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 31 44 53 62 71 88 106 124 142 176 212 248 284 341 424 496 503 568 583 682 781 848 1006 1136 1166 1364 1562 1643 2012 2201 2332 2728 3124 3286 3763 4024 4402 4664 5456 5533 6248 6572 7526 8048 8804 9328 11066 12496 13144 15052 15593 17608 18073 22132 24211 26288 26659 30104 31186 35216 35713 36146 41393 44264 48422 53318 60208 62372 71426 72292 82786 88528 96844 106636 116653 124744 142852 144584 165572 171523 193688 213272 233306 249488 285704 289168 293249 331144 343046 387376 392843 426544 466612 571408 586498 662288 686092 785686 826429 933224 1107103 1172996 1283183 1372184 1571372 1652858 1866448 1892789 2214206 2345992 2566366 2744368 3142744 3305716 3785578 4428412 4691984 5132732 6285488 6611432 7571156 8856824 9090719 10265464 12178133 13222864 15142312 17713648 18181438 20530928 20820679 24356266 30284624 36362876 41641358 48712532 58676459 72725752 83282716 97425064 117352918 145451504 166565432 194850128 234705836 333130864 469411672 645441049 938823344 1290882098 2581764196 5163528392 10327056784