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10856208432 = 2431731735879
BaseRepresentation
bin10100001110001010…
…01001100000110000
31001000120212112021210
422013011021200300
5134213142132212
64553130120120
7533012151306
oct120705114060
931016775253
1010856208432
114671057093
12212b880040
1310401c0594
1474db60276
1543813953c
hex287149830

10856208432 has 160 divisors (see below), whose sum is σ = 31078010880. Its totient is φ = 3250298880.

The previous prime is 10856208431. The next prime is 10856208457. The reversal of 10856208432 is 23480265801.

It is not an unprimeable number, because it can be changed into a prime (10856208431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1843669 + ... + 1849547.

It is an arithmetic number, because the mean of its divisors is an integer number (194237568).

Almost surely, 210856208432 is an apocalyptic number.

10856208432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10856208432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15539005440).

10856208432 is an abundant number, since it is smaller than the sum of its proper divisors (20221802448).

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

10856208432 is a wasteful number, since it uses less digits than its factorization.

10856208432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6011 (or 6005 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 10856208432 in words is "ten billion, eight hundred fifty-six million, two hundred eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 62 68 73 93 102 124 136 146 186 204 219 248 272 292 372 408 438 496 527 584 744 816 876 1054 1168 1241 1488 1581 1752 2108 2263 2482 3162 3504 3723 4216 4526 4964 5879 6324 6789 7446 8432 9052 9928 11758 12648 13578 14892 17637 18104 19856 23516 25296 27156 29784 35274 36208 38471 47032 54312 59568 70548 76942 94064 99943 108624 115413 141096 153884 182249 199886 230826 282192 299829 307768 364498 399772 429167 461652 546747 599658 615536 728996 799544 858334 923304 1093494 1199316 1287501 1457992 1599088 1716668 1846608 2186988 2398632 2575002 2915984 3098233 3433336 4373976 4797264 5150004 6196466 6866672 7295839 8747952 9294699 10300008 12392932 13304177 14591678 18589398 20600016 21887517 24785864 26608354 29183356 37178796 39912531 43775034 49571728 53216708 58366712 74357592 79825062 87550068 106433416 116733424 148715184 159650124 175100136 212866832 226171009 319300248 350200272 452342018 638600496 678513027 904684036 1357026054 1809368072 2714052108 3618736144 5428104216 10856208432