Search a number
-
+
10912860672 = 29371953419
BaseRepresentation
bin10100010100111010…
…10000101000000000
31001011112110202112220
422022131100220000
5134322143020142
65002512251040
7534300533220
oct121235205000
931145422486
1010912860672
1146a003081a
122146840a80
13104bb6780c
147574aa080
1543d0ca2ec
hex28a750a00

10912860672 has 160 divisors (see below), whose sum is σ = 34975142400. Its totient is φ = 2953801728.

The previous prime is 10912860661. The next prime is 10912860703. The reversal of 10912860672 is 27606821901.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177579 + ... + 230997.

It is an arithmetic number, because the mean of its divisors is an integer number (218594640).

Almost surely, 210912860672 is an apocalyptic number.

10912860672 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 10912860672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17487571200).

10912860672 is an abundant number, since it is smaller than the sum of its proper divisors (24062281728).

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

10912860672 is an equidigital number, since it uses as much as digits as its factorization.

10912860672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53466 (or 53450 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 10912860672 in words is "ten billion, nine hundred twelve million, eight hundred sixty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 256 266 304 336 384 399 448 456 512 532 608 672 768 798 896 912 1064 1216 1344 1536 1596 1792 1824 2128 2432 2688 3192 3584 3648 4256 4864 5376 6384 7296 8512 9728 10752 12768 14592 17024 25536 29184 34048 51072 53419 68096 102144 106838 160257 204288 213676 320514 373933 427352 641028 747866 854704 1014961 1121799 1282056 1495732 1709408 2029922 2243598 2564112 2991464 3044883 3418816 4059844 4487196 5128224 5982928 6089766 6837632 7104727 8119688 8974392 10256448 11965856 12179532 13675264 14209454 16239376 17948784 20512896 21314181 23931712 24359064 27350528 28418908 32478752 35897568 41025792 42628362 47863424 48718128 56837816 64957504 71795136 82051584 85256724 95726848 97436256 113675632 129915008 143590272 170513448 191453696 194872512 227351264 259830016 287180544 341026896 389745024 454702528 519660032 574361088 682053792 779490048 909405056 1364107584 1558980096 1818810112 2728215168 3637620224 5456430336 10912860672