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490717690344 = 233376713934849
BaseRepresentation
bin1110010010000010000…
…11011011100111101000
31201220121221220112012000
413021001003123213220
531014442212042334
61013233235051000
750311304355150
oct7110103334750
91656557815160
10490717690344
1117a126385902
127b130440a60
1337375054a5b
1419a72521760
15cb70c8e299
hex72410db9e8

490717690344 has 256 divisors, whose sum is σ = 1592505600000. Its totient is φ = 137114892288.

The previous prime is 490717690259. The next prime is 490717690387. The reversal of 490717690344 is 443096717094.

490717690344 is a `hidden beast` number, since 49 + 0 + 7 + 176 + 90 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14063832 + ... + 14098680.

It is an arithmetic number, because the mean of its divisors is an integer number (6220725000).

Almost surely, 2490717690344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490717690344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796252800000).

490717690344 is an abundant number, since it is smaller than the sum of its proper divisors (1101787909656).

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

490717690344 is a wasteful number, since it uses less digits than its factorization.

490717690344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35077 (or 35067 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 490717690344 in words is "four hundred ninety billion, seven hundred seventeen million, six hundred ninety thousand, three hundred forty-four".