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499606434432 = 2734716741221
BaseRepresentation
bin1110100010100101101…
…11010011001010000000
31202202120102122111210000
413101102313103022000
531141143221400212
61021303243440000
751044466424020
oct7212267231200
91682512574700
10499606434432
111829778978a6
12809b1226000
1338160750141
141a276c55a80
15cee12e11dc
hex7452dd3280

499606434432 has 320 divisors, whose sum is σ = 1709440064640. Its totient is φ = 141886494720.

The previous prime is 499606434419. The next prime is 499606434479. The reversal of 499606434432 is 234434606994.

It is a happy number.

499606434432 is a `hidden beast` number, since 4 + 99 + 60 + 64 + 3 + 4 + 432 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12099582 + ... + 12140802.

It is an arithmetic number, because the mean of its divisors is an integer number (5342000202).

Almost surely, 2499606434432 is an apocalyptic number.

499606434432 is a gapful number since it is divisible by the number (42) 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 499606434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854720032320).

499606434432 is an abundant number, since it is smaller than the sum of its proper divisors (1209833630208).

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

499606434432 is a wasteful number, since it uses less digits than its factorization.

499606434432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41421 (or 41400 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 54.

The spelling of 499606434432 in words is "four hundred ninety-nine billion, six hundred six million, four hundred thirty-four thousand, four hundred thirty-two".