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10051613136 = 243341717993
BaseRepresentation
bin10010101110001111…
…10111000111010000
3221221111212212001000
421113013313013100
5131041203110021
64341224542000
7504042205365
oct112707670720
927844785030
1010051613136
1142989677a4
121b46321900
13c425bbba6
146b4d5a46c
153dc6a5b26
hex2571f71d0

10051613136 has 160 divisors (see below), whose sum is σ = 29975581440. Its totient is φ = 3222374400.

The previous prime is 10051613093. The next prime is 10051613141. The reversal of 10051613136 is 63131615001.

10051613136 is a `hidden beast` number, since 1 + 0 + 0 + 516 + 13 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 1253556 + ... + 1261548.

It is an arithmetic number, because the mean of its divisors is an integer number (187347384).

Almost surely, 210051613136 is an apocalyptic number.

10051613136 is a gapful number since it is divisible by the number (16) 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 10051613136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14987790720).

10051613136 is an abundant number, since it is smaller than the sum of its proper divisors (19923968304).

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

10051613136 is a wasteful number, since it uses less digits than its factorization.

10051613136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8122 (or 8110 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 10051613136 in words is "ten billion, fifty-one million, six hundred thirteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 71 72 82 108 123 142 144 164 213 216 246 284 328 369 426 432 492 568 639 656 738 852 984 1107 1136 1278 1476 1704 1917 1968 2214 2556 2911 2952 3408 3834 4428 5112 5822 5904 7668 7993 8733 8856 10224 11644 15336 15986 17466 17712 23288 23979 26199 30672 31972 34932 46576 47958 52398 63944 69864 71937 78597 95916 104796 127888 139728 143874 157194 191832 209592 215811 287748 314388 327713 383664 419184 431622 567503 575496 628776 655426 863244 983139 1135006 1150992 1257552 1310852 1702509 1726488 1966278 2270012 2621704 2949417 3405018 3452976 3932556 4540024 5107527 5243408 5898834 6810036 7865112 8848251 9080048 10215054 11797668 13620072 15322581 15730224 17696502 20430108 23267623 23595336 27240144 30645162 35393004 40860216 46535246 47190672 61290324 69802869 70786008 81720432 93070492 122580648 139605738 141572016 186140984 209408607 245161296 279211476 372281968 418817214 558422952 628225821 837634428 1116845904 1256451642 1675268856 2512903284 3350537712 5025806568 10051613136