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106023425472 = 2633193229271
BaseRepresentation
bin110001010111101111…
…1010001010111000000
3101010122221210001122000
41202233133101113000
53214113444103342
6120412333544000
710442234150466
oct1425737212700
9333587701560
10106023425472
1140a67506888
121866b045000
139cc86bab23
1451bb00a836
152b57e4d44c
hex18af7d15c0

106023425472 has 112 divisors (see below), whose sum is σ = 328094035200. Its totient is φ = 33481071360.

The previous prime is 106023425447. The next prime is 106023425503. The reversal of 106023425472 is 274524320601.

106023425472 is a `hidden beast` number, since 1 + 0 + 602 + 3 + 4 + 2 + 5 + 47 + 2 = 666.

It is a super-2 number, since 2×1060234254722 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 1581804 + ... + 1647467.

Almost surely, 2106023425472 is an apocalyptic number.

106023425472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106023425472 is an abundant number, since it is smaller than the sum of its proper divisors (222070609728).

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

106023425472 is a wasteful number, since it uses less digits than its factorization.

106023425472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3229311 (or 3229295 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 106023425472 in words is "one hundred six billion, twenty-three million, four hundred twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 684 864 912 1026 1216 1368 1728 1824 2052 2736 3648 4104 5472 8208 10944 16416 32832 3229271 6458542 9687813 12917084 19375626 25834168 29063439 38751252 51668336 58126878 61356149 77502504 87190317 103336672 116253756 122712298 155005008 174380634 184068447 206673344 232507512 245424596 310010016 348761268 368136894 465015024 490849192 552205341 620020032 697522536 736273788 930030048 981698384 1104410682 1395045072 1472547576 1656616023 1860060096 1963396768 2208821364 2790090144 2945095152 3313232046 3926793536 4417642728 5580180288 5890190304 6626464092 8835285456 11780380608 13252928184 17670570912 26505856368 35341141824 53011712736 106023425472