Search a number
-
+
38483437064004 = 22343446392
BaseRepresentation
bin10001100000000000111111…
…00110001000111101000100
312001020222110220012112210000
420300000133212020331010
520021003034342022004
6213503014045201300
711051223305555022
oct1060003746107504
9161228426175700
1038483437064004
1111297808a63829
124396421260230
131861c848a871a
14970873221712
1546b098730c39
hex23001f988f44

38483437064004 has 45 divisors (see below), whose sum is σ = 100603598061967. Its totient is φ = 12827775133656.

The previous prime is 38483437063987. The next prime is 38483437064101. The reversal of 38483437064004 is 40046073438483.

The square root of 38483437064004 is 6203502.

It is a perfect power (a square), and thus also a powerful number.

38483437064004 is a `hidden beast` number, since 38 + 483 + 4 + 3 + 70 + 64 + 0 + 0 + 4 = 666.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 111490717 + ... + 111835355.

Almost surely, 238483437064004 is an apocalyptic number.

38483437064004 is the 6203502-nd square number.

It is an amenable number.

38483437064004 is an abundant number, since it is smaller than the sum of its proper divisors (62120160997963).

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

38483437064004 is an frugal number, since it uses more digits than its factorization.

38483437064004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689294 (or 344644 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 54.

The spelling of 38483437064004 in words is "thirty-eight trillion, four hundred eighty-three billion, four hundred thirty-seven million, sixty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 344639 689278 1033917 1378556 2067834 3101751 4135668 6203502 9305253 12407004 18610506 27915759 37221012 55831518 111663036 118776040321 237552080642 356328120963 475104161284 712656241926 1068984362889 1425312483852 2137968725778 3206953088667 4275937451556 6413906177334 9620859266001 12827812354668 19241718532002 38483437064004