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500347021968 = 24343374092801
BaseRepresentation
bin1110100011111110000…
…00011010101010010000
31202211111001012020220000
413101333000122222100
531144202314200333
61021504541050000
751102031341243
oct7217700325220
91684431166800
10500347021968
11183217939212
1280b79256900
133824b000611
141a30735725a
15d03632e713
hex747f01aa90

500347021968 has 200 divisors, whose sum is σ = 1456517651160. Its totient is φ = 165821644800.

The previous prime is 500347021949. The next prime is 500347021973. The reversal of 500347021968 is 869120743005.

500347021968 is a `hidden beast` number, since 500 + 3 + 4 + 70 + 2 + 19 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 124391646864 + 375955375104 = 352692^2 + 613152^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 178630168 + ... + 178632968.

It is a 1-persistent number, because it is pandigital, but 2⋅500347021968 = 1000694043936 is not.

Almost surely, 2500347021968 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 500347021968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728258825580).

500347021968 is an abundant number, since it is smaller than the sum of its proper divisors (956170629192).

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

500347021968 is a wasteful number, since it uses less digits than its factorization.

500347021968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3567 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 500347021968 in words is "five hundred billion, three hundred forty-seven million, twenty-one thousand, nine hundred sixty-eight".