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3966402132 = 22327111430881
BaseRepresentation
bin1110110001101010…
…0111111001010100
3101020102111002211200
43230122213321110
531110344332012
61453325432500
7200201601420
oct35432477124
911212432750
103966402132
111755a266a0
1292840b730
134b2989c14
14298ac9b80
1518333a3dc
hexec6a7e54

3966402132 has 72 divisors (see below), whose sum is σ = 12500185152. Its totient is φ = 1030233600.

The previous prime is 3966402061. The next prime is 3966402157. The reversal of 3966402132 is 2312046693.

3966402132 is a `hidden beast` number, since 3 + 9 + 6 + 640 + 2 + 1 + 3 + 2 = 666.

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 23 ways as a sum of consecutive naturals, for example, 712669 + ... + 718212.

Almost surely, 23966402132 is an apocalyptic number.

It is an amenable number.

3966402132 is an abundant number, since it is smaller than the sum of its proper divisors (8533783020).

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

3966402132 is a wasteful number, since it uses less digits than its factorization.

3966402132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430909 (or 1430904 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3966402132 is about 62979.3786250706. The cubic root of 3966402132 is about 1582.9441090122.

The spelling of 3966402132 in words is "three billion, nine hundred sixty-six million, four hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 1430881 2861762 4292643 5723524 8585286 10016167 12877929 15739691 17170572 20032334 25755858 30048501 31479382 40064668 47219073 51511716 60097002 62958764 90145503 94438146 110177837 120194004 141657219 180291006 188876292 220355674 283314438 330533511 360582012 440711348 566628876 661067022 991600533 1322134044 1983201066 3966402132