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106657182924 = 223711814671481
BaseRepresentation
bin110001101010101000…
…0110111010011001100
3101012022010022021102020
41203111100313103030
53221413214323144
6120555253330140
710464031045035
oct1432520672314
9335263267366
10106657182924
1141262221176
1218807336950
13a099aa5a36
14523b25da8c
152b938d8419
hex18d54374cc

106657182924 has 96 divisors (see below), whose sum is σ = 254481357312. Its totient is φ = 34759872000.

The previous prime is 106657182923. The next prime is 106657182941. The reversal of 106657182924 is 429281756601.

It is a super-2 number, since 2×1066571829242 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106657182923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72016264 + ... + 72017744.

It is an arithmetic number, because the mean of its divisors is an integer number (2650847472).

Almost surely, 2106657182924 is an apocalyptic number.

It is an amenable number.

106657182924 is an abundant number, since it is smaller than the sum of its proper divisors (147824174388).

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

106657182924 is a wasteful number, since it uses less digits than its factorization.

106657182924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2207 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 106657182924 in words is "one hundred six billion, six hundred fifty-seven million, one hundred eighty-two thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 12 71 142 181 213 284 362 426 467 543 724 852 934 1086 1401 1481 1868 2172 2802 2962 4443 5604 5924 8886 12851 17772 25702 33157 38553 51404 66314 77106 84527 99471 105151 132628 154212 169054 198942 210302 253581 268061 315453 338108 397884 420604 507162 536122 630906 691627 804183 1014324 1072244 1261812 1383254 1608366 2074881 2766508 3216732 4149762 6001417 8299524 12002834 18004251 19032331 24005668 36008502 38064662 49105517 57096993 72017004 76129324 98211034 114193986 125184487 147316551 196422068 228387972 250368974 294633102 375553461 500737948 589266204 751106922 1502213844 8888098577 17776197154 26664295731 35552394308 53328591462 106657182924