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10316187264 = 273376111903
BaseRepresentation
bin10011001101110010…
…01000011010000000
3222121221201121111210
421212321020122000
5132111420443024
64423355410120
7513434100465
oct114671103200
928557647453
1010316187264
1144142451a9
121bbaa53940
13c85365126
146dc14b66c
15405a18129
hex266e48680

10316187264 has 128 divisors (see below), whose sum is σ = 28606740480. Its totient is φ = 3290664960.

The previous prime is 10316187253. The next prime is 10316187281. The reversal of 10316187264 is 46278161301.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 860737 + ... + 872639.

It is an arithmetic number, because the mean of its divisors is an integer number (223490160).

Almost surely, 210316187264 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 10316187264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14303370240).

10316187264 is an abundant number, since it is smaller than the sum of its proper divisors (18290553216).

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

10316187264 is a wasteful number, since it uses less digits than its factorization.

10316187264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12018 (or 12006 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 10316187264 in words is "ten billion, three hundred sixteen million, one hundred eighty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 61 64 74 96 111 122 128 148 183 192 222 244 296 366 384 444 488 592 732 888 976 1184 1464 1776 1952 2257 2368 2928 3552 3904 4514 4736 5856 6771 7104 7808 9028 11712 11903 13542 14208 18056 23424 23806 27084 35709 36112 47612 54168 71418 72224 95224 108336 142836 144448 190448 216672 285672 288896 380896 433344 440411 571344 726083 761792 866688 880822 1142688 1321233 1452166 1523584 1761644 2178249 2285376 2642466 2904332 3523288 4356498 4570752 5284932 5808664 7046576 8712996 10569864 11617328 14093152 17425992 21139728 23234656 26865071 28186304 34851984 42279456 46469312 53730142 56372608 69703968 80595213 84558912 92938624 107460284 139407936 161190426 169117824 214920568 278815872 322380852 429841136 644761704 859682272 1289523408 1719364544 2579046816 3438729088 5158093632 10316187264