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106639973928 = 2334451736433
BaseRepresentation
bin110001101010000111…
…1001101111000101000
3101012020220220222010000
41203110033031320220
53221344313131203
6120553440423000
710463431552035
oct1432417157050
9335226828100
10106639973928
1141253537864
1218801617a60
13a09635bab7
145238c6038c
152b921394a3
hex18d43cde28

106639973928 has 80 divisors (see below), whose sum is σ = 298764993780. Its totient is φ = 35537812992.

The previous prime is 106639973911. The next prime is 106639973989. The reversal of 106639973928 is 829379936601.

It can be written as a sum of positive squares in 2 ways, for example, as 104498320644 + 2141653284 = 323262^2 + 46278^2 .

It is a super-2 number, since 2×1066399739282 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2908800 + ... + 2945232.

Almost surely, 2106639973928 is an apocalyptic number.

106639973928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106639973928 is an abundant number, since it is smaller than the sum of its proper divisors (192125019852).

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

106639973928 is a wasteful number, since it uses less digits than its factorization.

106639973928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40968 (or 40955 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 106639973928 in words is "one hundred six billion, six hundred thirty-nine million, nine hundred seventy-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 4517 9034 13551 18068 27102 36136 36433 40653 54204 72866 81306 108408 109299 121959 145732 162612 218598 243918 291464 325224 327897 365877 437196 487836 655794 731754 874392 975672 983691 1311588 1463508 1967382 2623176 2927016 2951073 3934764 5902146 7869528 11804292 23608584 164567861 329135722 493703583 658271444 987407166 1316542888 1481110749 1974814332 2962221498 3949628664 4443332247 5924442996 8886664494 11848885992 13329996741 17773328988 26659993482 35546657976 53319986964 106639973928