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492023460096 = 28327219239973
BaseRepresentation
bin1110010100011101110…
…00100011000100000000
31202000222221221111112200
413022032320203010000
531030131001210341
61014011002153200
750355541256100
oct7121670430400
91660887844480
10492023460096
1117a736463a63
127b4357b2800
133752272cc8c
1419b57b05200
15cbea71ddb6
hex728ee23100

492023460096 has 648 divisors, whose sum is σ = 1812799235520. Its totient is φ = 127376105472.

The previous prime is 492023460053. The next prime is 492023460113. The reversal of 492023460096 is 690064320294.

492023460096 is a `hidden beast` number, since 4 + 9 + 2 + 0 + 2 + 34 + 600 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49330566 + ... + 49340538.

Almost surely, 2492023460096 is an apocalyptic number.

492023460096 is a gapful number since it is divisible by the number (46) 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 492023460096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906399617760).

492023460096 is an abundant number, since it is smaller than the sum of its proper divisors (1320775775424).

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

492023460096 is a wasteful number, since it uses less digits than its factorization.

492023460096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10051 (or 10027 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 492023460096 in words is "four hundred ninety-two billion, twenty-three million, four hundred sixty thousand, ninety-six".