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3972064656 = 243721688803
BaseRepresentation
bin1110110011000000…
…1110010110010000
3101020211010210100210
43230300032112100
531113322032111
61454051044120
7200300664300
oct35460162620
911224123323
103972064656
111759143a6a
1292a2a0640
134b3bc0421
14299761600
15183aa80a6
hexecc0e590

3972064656 has 60 divisors (see below), whose sum is σ = 11936466672. Its totient is φ = 1134874944.

The previous prime is 3972064633. The next prime is 3972064667. The reversal of 3972064656 is 6564602793.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 842050 + ... + 846753.

Almost surely, 23972064656 is an apocalyptic number.

It is an amenable number.

3972064656 is an abundant number, since it is smaller than the sum of its proper divisors (7964402016).

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

3972064656 is a wasteful number, since it uses less digits than its factorization.

3972064656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688828 (or 1688815 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The square root of 3972064656 is about 63024.3179733030. The cubic root of 3972064656 is about 1583.6970329141.

The spelling of 3972064656 in words is "three billion, nine hundred seventy-two million, sixty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 1688803 3377606 5066409 6755212 10132818 11821621 13510424 20265636 23643242 27020848 35464863 40531272 47286484 70929726 81062544 82751347 94572968 141859452 165502694 189145936 248254041 283718904 331005388 496508082 567437808 662010776 993016164 1324021552 1986032328 3972064656