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103789631484 = 223271137442147
BaseRepresentation
bin110000010101001011…
…0000001011111111100
3100220220021111120100100
41200222112001133330
53200030121201414
6115402540001100
710333001211540
oct1405226013774
9326807446310
10103789631484
11400205a5350
1218146b30190
139a30986636
145048493a20
152a76ca8609
hex182a5817fc

103789631484 has 72 divisors (see below), whose sum is σ = 327094604928. Its totient is φ = 26958345120.

The previous prime is 103789631483. The next prime is 103789631489. The reversal of 103789631484 is 484136987301.

103789631484 is a `hidden beast` number, since 1 + 0 + 3 + 78 + 96 + 3 + 1 + 484 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 103789631484.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103789631483) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18718302 + ... + 18723845.

It is an arithmetic number, because the mean of its divisors is an integer number (4542980624).

Almost surely, 2103789631484 is an apocalyptic number.

103789631484 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103789631484 is an abundant number, since it is smaller than the sum of its proper divisors (223304973444).

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

103789631484 is a wasteful number, since it uses less digits than its factorization.

103789631484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37442175 (or 37442170 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 103789631484 in words is "one hundred three billion, seven hundred eighty-nine million, six hundred thirty-one thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 37442147 74884294 112326441 149768588 224652882 262095029 336979323 411863617 449305764 524190058 673958646 786285087 823727234 1048380116 1235590851 1347917292 1572570174 1647454468 2358855261 2471181702 2883045319 3145140348 3706772553 4717710522 4942363404 5766090638 7413545106 8649135957 9435421044 11532181276 14827090212 17298271914 25947407871 34596543828 51894815742 103789631484