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106059149424 = 24321938764309
BaseRepresentation
bin110001011000110011…
…1100011000001110000
3101010202110000000200100
41202301213203001300
53214202120240144
6120420051352400
710443146616114
oct1426147430160
9333673000610
10106059149424
1140a85696808
121867abb2700
13a002c18267
1451c1a69744
152b5b158269
hex18b19e3070

106059149424 has 60 divisors (see below), whose sum is σ = 312440338600. Its totient is φ = 33492362112.

The previous prime is 106059149411. The next prime is 106059149437. The reversal of 106059149424 is 424941950601.

106059149424 is a `hidden beast` number, since 1 + 0 + 605 + 9 + 14 + 9 + 4 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (106059149411) and next prime (106059149437).

It is a super-2 number, since 2×1060591494242 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106059149424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19379419 + ... + 19384890.

Almost surely, 2106059149424 is an apocalyptic number.

It is an amenable number.

106059149424 is an abundant number, since it is smaller than the sum of its proper divisors (206381189176).

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

106059149424 is a wasteful number, since it uses less digits than its factorization.

106059149424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38764342 (or 38764333 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 106059149424 in words is "one hundred six billion, fifty-nine million, one hundred forty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 38764309 77528618 116292927 155057236 232585854 310114472 348878781 465171708 620228944 697757562 736521871 930343416 1395515124 1473043742 1860686832 2209565613 2791030248 2946087484 4419131226 5582060496 5892174968 6628696839 8838262452 11784349936 13257393678 17676524904 26514787356 35353049808 53029574712 106059149424