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6928061504 = 2671319137457
BaseRepresentation
bin1100111001111000…
…11101010001000000
3122212211100222201112
412130330131101000
5103142040432004
63103244222452
7333453360020
oct63474352100
918784328645
106928061504
112a3578a171
12141423aa28
13865438ca0
1449a191a80
152a8358e6e
hex19cf1d440

6928061504 has 224 divisors, whose sum is σ = 17980273920. Its totient is φ = 2571927552.

The previous prime is 6928061477. The next prime is 6928061509. The reversal of 6928061504 is 4051608296.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (6928061509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15159644 + ... + 15160100.

It is an arithmetic number, because the mean of its divisors is an integer number (80269080).

Almost surely, 26928061504 is an apocalyptic number.

6928061504 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6928061504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8990136960).

6928061504 is an abundant number, since it is smaller than the sum of its proper divisors (11052212416).

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

6928061504 is a wasteful number, since it uses less digits than its factorization.

6928061504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 6928061504 is about 83234.9776476212. The cubic root of 6928061504 is about 1906.3555867427.

The spelling of 6928061504 in words is "six billion, nine hundred twenty-eight million, sixty-one thousand, five hundred four".