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106067656044 = 223271789235273
BaseRepresentation
bin110001011001000011…
…1111111110101101100
3101010210001000012120100
41202302013333311230
53214211304443134
6120420553551100
710443312125550
oct1426207776554
9333701005510
10106067656044
1140a8a476979
1218681a15490
13a00490616c
1451c2c41860
152b5bc88999
hex18b21ffd6c

106067656044 has 72 divisors (see below), whose sum is σ = 306590254880. Its totient is φ = 30287976192.

The previous prime is 106067656001. The next prime is 106067656063. The reversal of 106067656044 is 440656760601.

106067656044 is a `hidden beast` number, since 10 + 6 + 0 + 6 + 76 + 560 + 4 + 4 = 666.

It is a super-2 number, since 2×1060676560442 (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 23 ways as a sum of consecutive naturals, for example, 333192 + ... + 568464.

Almost surely, 2106067656044 is an apocalyptic number.

106067656044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106067656044 is an abundant number, since it is smaller than the sum of its proper divisors (200522598836).

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

106067656044 is a wasteful number, since it uses less digits than its factorization.

106067656044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237079 (or 237074 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 106067656044 in words is "one hundred six billion, sixty-seven million, six hundred fifty-six thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1789 3578 5367 7156 10734 12523 16101 21468 25046 32202 37569 50092 64404 75138 112707 150276 225414 235273 450828 470546 705819 941092 1411638 1646911 2117457 2823276 3293822 4234914 4940733 6587644 8469828 9881466 14822199 19762932 29644398 59288796 420903397 841806794 1262710191 1683613588 2525420382 2946323779 3788130573 5050840764 5892647558 7576261146 8838971337 11785295116 15152522292 17677942674 26516914011 35355885348 53033828022 106067656044