Search a number
-
+
38714628585456 = 2432268851587399
BaseRepresentation
bin10001100110101111100111…
…01011110011011111110000
312002002002020000211200210200
420303113303223303133300
520033300024404213311
6214201131013555200
711104016405224245
oct1063276353633760
9162062200750720
1038714628585456
111137686660372a
1244131a2945b00
13187aa0a0a5c65
1497bb25ab15cc
154720ca1e2556
hex2335f3af37f0

38714628585456 has 30 divisors (see below), whose sum is σ = 108347189722200. Its totient is φ = 12904876195104.

The previous prime is 38714628585449. The next prime is 38714628585469. The reversal of 38714628585456 is 65458582641783.

38714628585456 is a `hidden beast` number, since 3 + 8 + 7 + 1 + 4 + 6 + 28 + 58 + 545 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 134425793556 + ... + 134425793843.

It is an arithmetic number, because the mean of its divisors is an integer number (3611572990740).

Almost surely, 238714628585456 is an apocalyptic number.

38714628585456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38714628585456 is an abundant number, since it is smaller than the sum of its proper divisors (69632561136744).

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

38714628585456 is a wasteful number, since it uses less digits than its factorization.

38714628585456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268851587413 (or 268851587404 counting only the distinct ones).

The product of its digits is 1548288000, while the sum is 72.

The spelling of 38714628585456 in words is "thirty-eight trillion, seven hundred fourteen billion, six hundred twenty-eight million, five hundred eighty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 268851587399 537703174798 806554762197 1075406349596 1613109524394 2150812699192 2419664286591 3226219048788 4301625398384 4839328573182 6452438097576 9678657146364 12904876195152 19357314292728 38714628585456