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490023011520 = 26325731784087
BaseRepresentation
bin1110010000101111010…
…01011100010011000000
31201211211112202011222200
413020113221130103000
531012031342332040
61013040301433200
750255140605360
oct7102751342300
91654745664880
10490023011520
111798aa240379
127ab7786b800
13372941596b3
1419a081709a0
15cb2ecbd630
hex7217a5c4c0

490023011520 has 336 divisors, whose sum is σ = 1988396986368. Its totient is φ = 108392048640.

The previous prime is 490023011479. The next prime is 490023011537. The reversal of 490023011520 is 25110320094.

490023011520 is a `hidden beast` number, since 490 + 0 + 23 + 0 + 1 + 152 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232917 + ... + 1017003.

Almost surely, 2490023011520 is an apocalyptic number.

490023011520 is a gapful number since it is divisible by the number (40) 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 490023011520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994198493184).

490023011520 is an abundant number, since it is smaller than the sum of its proper divisors (1498373974848).

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

490023011520 is a wasteful number, since it uses less digits than its factorization.

490023011520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784148 (or 784135 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 490023011520 in words is "four hundred ninety billion, twenty-three million, eleven thousand, five hundred twenty".