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469838528640 = 27325136274553
BaseRepresentation
bin1101101011001001000…
…11110000000010000000
31122220201212002012210200
412311210203300002000
530144212130404030
6555501342125200
745642015412455
oct6654443600200
91586655065720
10469838528640
11171291667668
1277083b80800
13353c849b5c0
1418a5158582c
15c34cc60d60
hex6d648f0080

469838528640 has 192 divisors, whose sum is σ = 1747212306840. Its totient is φ = 115652542464.

The previous prime is 469838528603. The next prime is 469838528641. The reversal of 469838528640 is 46825838964.

469838528640 is a `hidden beast` number, since 4 + 69 + 8 + 3 + 8 + 528 + 6 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 314936460864 + 154902067776 = 561192^2 + 393576^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (469838528641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3062397 + ... + 3212156.

Almost surely, 2469838528640 is an apocalyptic number.

469838528640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

469838528640 is an abundant number, since it is smaller than the sum of its proper divisors (1277373778200).

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

469838528640 is a wasteful number, since it uses less digits than its factorization.

469838528640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6274591 (or 6274576 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 469838528640 in words is "four hundred sixty-nine billion, eight hundred thirty-eight million, five hundred twenty-eight thousand, six hundred forty".