Search a number
-
+
32714053504 = 271141566693
BaseRepresentation
bin11110011101111010…
…001101011110000000
310010102220021002212021
4132131322031132000
51013444244203004
623010103411224
72235453603166
oct363572153600
9103386232767
1032714053504
1112968259660
12640ba53b14
13311475c412
141824a99236
15cb7037d54
hex79de8d780

32714053504 has 64 divisors (see below), whose sum is σ = 72831512880. Its totient is φ = 14507315200.

The previous prime is 32714053429. The next prime is 32714053553. The reversal of 32714053504 is 40535041723.

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

It is a self number, because there is not a number n which added to its sum of digits gives 32714053504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225619 + ... + 341074.

Almost surely, 232714053504 is an apocalyptic number.

It is an amenable number.

32714053504 is an abundant number, since it is smaller than the sum of its proper divisors (40117459376).

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

32714053504 is a wasteful number, since it uses less digits than its factorization.

32714053504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566759 (or 566747 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

The spelling of 32714053504 in words is "thirty-two billion, seven hundred fourteen million, fifty-three thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 128 164 176 328 352 451 656 704 902 1312 1408 1804 2624 3608 5248 7216 14432 28864 57728 566693 1133386 2266772 4533544 6233623 9067088 12467246 18134176 23234413 24934492 36268352 46468826 49868984 72536704 92937652 99737968 185875304 199475936 255578543 371750608 398951872 511157086 743501216 797903744 1022314172 1487002432 2044628344 2974004864 4089256688 8178513376 16357026752 32714053504