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514707939900 = 2232527117979319
BaseRepresentation
bin1110111110101101111…
…10111110001000111100
31211012112212210110210100
413133112332332020330
531413110213034100
61032241545241100
752120641205530
oct7372676761074
91735485713710
10514707939900
11189317239430
1283906793190
13396c9318cab
141acaa73dbc0
15d5c6ea6400
hex77d6fbe23c

514707939900 has 432 divisors, whose sum is σ = 2014156085760. Its totient is φ = 106806643200.

The previous prime is 514707939869. The next prime is 514707939961. The reversal of 514707939900 is 9939707415.

It is a happy number.

514707939900 is a `hidden beast` number, since 51 + 470 + 7 + 9 + 39 + 90 + 0 = 666.

It is a super-2 number, since 2×5147079399002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55227441 + ... + 55236759.

Almost surely, 2514707939900 is an apocalyptic number.

514707939900 is a gapful number since it is divisible by the number (50) 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 514707939900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007078042880).

514707939900 is an abundant number, since it is smaller than the sum of its proper divisors (1499448145860).

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

514707939900 is a wasteful number, since it uses less digits than its factorization.

514707939900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10154 (or 10144 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 514707939900 in words is "five hundred fourteen billion, seven hundred seven million, nine hundred thirty-nine thousand, nine hundred".