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495410925312 = 28321713999041
BaseRepresentation
bin1110011010110001100…
…10101100111100000000
31202100202001001120020100
413031120302230330000
531104100144102222
61015331051242400
750535513246012
oct7153062547400
91670661046210
10495410925312
11181114608796
1280020149400
1337942487574
1419d9996c1b2
15cd47cec4ac
hex7358cacf00

495410925312 has 216 divisors, whose sum is σ = 1513663351200. Its totient is φ = 155294760960.

The previous prime is 495410925301. The next prime is 495410925323. The reversal of 495410925312 is 213529014594.

It is a happy number.

495410925312 is a `hidden beast` number, since 4 + 9 + 5 + 4 + 109 + 2 + 531 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (495410925301) and next prime (495410925323).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54791512 + ... + 54800552.

It is an arithmetic number, because the mean of its divisors is an integer number (7007700700).

Almost surely, 2495410925312 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 495410925312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756831675600).

495410925312 is an abundant number, since it is smaller than the sum of its proper divisors (1018252425888).

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

495410925312 is a wasteful number, since it uses less digits than its factorization.

495410925312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10479 (or 10462 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 495410925312 in words is "four hundred ninety-five billion, four hundred ten million, nine hundred twenty-five thousand, three hundred twelve".