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106031432664 = 23324135918507
BaseRepresentation
bin110001010111111110…
…1110100001111011000
3101010200111211212102200
41202233331310033120
53214123021321124
6120413221330200
710442362210203
oct1425775641730
9333614755380
10106031432664
1140a70a857a3
1218671866960
139cca262601
1451bc0d293a
152b589d0bc9
hex18aff743d8

106031432664 has 48 divisors (see below), whose sum is σ = 294172580520. Its totient is φ = 34481765760.

The previous prime is 106031432609. The next prime is 106031432701. The reversal of 106031432664 is 466234130601.

106031432664 is a `hidden beast` number, since 1 + 0 + 603 + 1 + 43 + 2 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×1060314326642 (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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17956302 + ... + 17962205.

Almost surely, 2106031432664 is an apocalyptic number.

It is an amenable number.

106031432664 is an abundant number, since it is smaller than the sum of its proper divisors (188141147856).

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

106031432664 is a wasteful number, since it uses less digits than its factorization.

106031432664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35918560 (or 35918553 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 106031432664 in words is "one hundred six billion, thirty-one million, four hundred thirty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 35918507 71837014 107755521 143674028 215511042 287348056 323266563 431022084 646533126 862044168 1293066252 1472658787 2586132504 2945317574 4417976361 5890635148 8835952722 11781270296 13253929083 17671905444 26507858166 35343810888 53015716332 106031432664