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100056477536472 = 23310783894644511
BaseRepresentation
bin10110110000000000110110…
…110011010001000011011000
3111010021022020221202122110210
4112300000312303101003120
5101103311131222131342
6552445151120211120
730034561534241052
oct2660006663210330
9433238227678423
10100056477536472
1129976794114256
12b27b747a69aa0
1343aa392b9cc92
141a9ca8b93a8d2
15b87a72b7979c
hex5b0036cd10d8

100056477536472 has 64 divisors (see below), whose sum is σ = 252509112806400. Its totient is φ = 33036511098240.

The previous prime is 100056477536471. The next prime is 100056477536479. The reversal of 100056477536472 is 274635774650001.

It is a super-2 number, since 2×1000564775364722 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100056477536471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19220697 + ... + 23865207.

It is an arithmetic number, because the mean of its divisors is an integer number (3945454887600).

Almost surely, 2100056477536472 is an apocalyptic number.

100056477536472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100056477536472 is an abundant number, since it is smaller than the sum of its proper divisors (152452635269928).

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

100056477536472 is a wasteful number, since it uses less digits than its factorization.

100056477536472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4653016 (or 4653012 counting only the distinct ones).

The product of its (nonzero) digits is 29635200, while the sum is 57.

The spelling of 100056477536472 in words is "one hundred trillion, fifty-six billion, four hundred seventy-seven million, five hundred thirty-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 107 214 321 428 642 856 1284 2568 8389 16778 25167 33556 50334 67112 100668 201336 897623 1795246 2692869 3590492 4644511 5385738 7180984 9289022 10771476 13933533 18578044 21542952 27867066 37156088 55734132 111468264 496962677 993925354 1490888031 1987850708 2981776062 3975701416 5963552124 11927104248 38962802779 77925605558 116888408337 155851211116 233776816674 311702422232 467553633348 935107266696 4169019897353 8338039794706 12507059692059 16676079589412 25014119384118 33352159178824 50028238768236 100056477536472