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3714668064 = 253229344021
BaseRepresentation
bin1101110101101001…
…0101011000100000
3100120212210200121200
43131122111120200
530101423334224
61412334121200
7161024105022
oct33532253040
910525720550
103714668064
111636919108
12878050200
1347278b153
142734bc012
1516b1b25c9
hexdd695620

3714668064 has 72 divisors (see below), whose sum is σ = 10599881292. Its totient is φ = 1233968640.

The previous prime is 3714668033. The next prime is 3714668119. The reversal of 3714668064 is 4608664173.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3521235600 + 193432464 = 59340^2 + 13908^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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, 62374 + ... + 106394.

Almost surely, 23714668064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3714668064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5299940646).

3714668064 is an abundant number, since it is smaller than the sum of its proper divisors (6885213228).

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

3714668064 is a wasteful number, since it uses less digits than its factorization.

3714668064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44330 (or 44319 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3714668064 is about 60948.0767867207. The cubic root of 3714668064 is about 1548.7215353167.

The spelling of 3714668064 in words is "three billion, seven hundred fourteen million, six hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 293 586 879 1172 1758 2344 2637 3516 4688 5274 7032 9376 10548 14064 21096 28128 42192 44021 84384 88042 132063 176084 264126 352168 396189 528252 704336 792378 1056504 1408672 1584756 2113008 3169512 4226016 6339024 12678048 12898153 25796306 38694459 51592612 77388918 103185224 116083377 154777836 206370448 232166754 309555672 412740896 464333508 619111344 928667016 1238222688 1857334032 3714668064