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538180697664 = 26342324432
BaseRepresentation
bin1111101010011100001…
…00011011111001000000
31220110010201221010010000
413311032010123321000
532304143224311124
61051123052040000
753611422310611
oct7651604337100
91813121833100
10538180697664
11198271a78795
1288377763000
133b99a31257c
141c095d31c08
15deeca4c6c9
hex7d4e11be40

538180697664 has 315 divisors, whose sum is σ = 1671487476043. Its totient is φ = 171206500608.

The previous prime is 538180697647. The next prime is 538180697693. The reversal of 538180697664 is 466796081835.

The square root of 538180697664 is 733608.

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

538180697664 is a `hidden beast` number, since 538 + 1 + 8 + 0 + 6 + 97 + 6 + 6 + 4 = 666.

It is a Duffinian 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 44 ways as a sum of consecutive naturals, for example, 1214854627 + ... + 1214855069.

Almost surely, 2538180697664 is an apocalyptic number.

538180697664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

538180697664 is the 733608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 538180697664

538180697664 is an abundant number, since it is smaller than the sum of its proper divisors (1133306778379).

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

538180697664 is an frugal number, since it uses more digits than its factorization.

538180697664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 538180697664 in words is "five hundred thirty-eight billion, one hundred eighty million, six hundred ninety-seven thousand, six hundred sixty-four".