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134779796802 = 2337353251547
BaseRepresentation
bin111110110000110000…
…0000111110101000010
3110212220000222002012000
41331201200013311002
54202012111444202
6141530022444430
712510653241000
oct1754140076502
9425800862160
10134779796802
1152183755222
1222155593716
13c92c224371
146748209a70
15378c7be91c
hex1f61807d42

134779796802 has 256 divisors, whose sum is σ = 357944832000. Its totient is φ = 37562616000.

The previous prime is 134779796791. The next prime is 134779796821. The reversal of 134779796802 is 208697977431.

134779796802 is a `hidden beast` number, since 13 + 477 + 9 + 79 + 6 + 80 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 134779796802.

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 127 ways as a sum of consecutive naturals, for example, 246397893 + ... + 246398439.

It is an arithmetic number, because the mean of its divisors is an integer number (1398222000).

Almost surely, 2134779796802 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134779796802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178972416000).

134779796802 is an abundant number, since it is smaller than the sum of its proper divisors (223165035198).

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

134779796802 is a wasteful number, since it uses less digits than its factorization.

134779796802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 134779796802 in words is "one hundred thirty-four billion, seven hundred seventy-nine million, seven hundred ninety-six thousand, eight hundred two".