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34542553504 = 251763497341
BaseRepresentation
bin100000001010111001…
…011000100110100000
310022011022220112022111
4200022321120212200
51031220343203004
623511342445104
72331665601034
oct401271304640
9108138815274
1034542553504
1113716409788
126840293794
13334651a794
1419598701c4
15d72820a04
hex80ae589a0

34542553504 has 24 divisors (see below), whose sum is σ = 72005985828. Its totient is φ = 16255319040.

The previous prime is 34542553501. The next prime is 34542553523. The reversal of 34542553504 is 40535524543.

It can be written as a sum of positive squares in 2 ways, for example, as 34540965904 + 1587600 = 185852^2 + 1260^2 .

It is not an unprimeable number, because it can be changed into a prime (34542553501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31748127 + ... + 31749214.

Almost surely, 234542553504 is an apocalyptic number.

34542553504 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34542553504 is an abundant number, since it is smaller than the sum of its proper divisors (37463432324).

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

34542553504 is a wasteful number, since it uses less digits than its factorization.

34542553504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63497368 (or 63497360 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 40.

The spelling of 34542553504 in words is "thirty-four billion, five hundred forty-two million, five hundred fifty-three thousand, five hundred four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 63497341 126994682 253989364 507978728 1015957456 1079454797 2031914912 2158909594 4317819188 8635638376 17271276752 34542553504