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3938696064 = 27331139669
BaseRepresentation
bin1110101011000011…
…1011101110000000
3101011111100111021000
43222300323232000
531031301233224
61450455532000
7166414235622
oct35260735600
911144314230
103938696064
111741322716
1291b08a000
134aa0090b4
14295156c12
15180bb60c9
hexeac3bb80

3938696064 has 64 divisors (see below), whose sum is σ = 11624634000. Its totient is φ = 1312897536.

The previous prime is 3938696063. The next prime is 3938696071. The reversal of 3938696064 is 4606968393.

It is a happy number.

3938696064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3938696064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3938696063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 566379 + ... + 573290.

Almost surely, 23938696064 is an apocalyptic number.

It is an amenable number.

3938696064 is an abundant number, since it is smaller than the sum of its proper divisors (7685937936).

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

3938696064 is a wasteful number, since it uses less digits than its factorization.

3938696064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139692 (or 1139674 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The square root of 3938696064 is about 62759.0317324925. The cubic root of 3938696064 is about 1579.2497725464.

The spelling of 3938696064 in words is "three billion, nine hundred thirty-eight million, six hundred ninety-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 1139669 2279338 3419007 4558676 6838014 9117352 10257021 13676028 18234704 20514042 27352056 30771063 36469408 41028084 54704112 61542126 72938816 82056168 109408224 123084252 145877632 164112336 218816448 246168504 328224672 437632896 492337008 656449344 984674016 1312898688 1969348032 3938696064