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134927109504 = 2734111971877
BaseRepresentation
bin111110110101001001…
…0000100110110000000
3110220021022011100020000
41331222102010312000
54202312320001004
6141552404120000
712514422336045
oct1755222046600
9426238140200
10134927109504
1152249921460
1222196996000
13c9538c2045
14675d9d51cc
15379a6bcc39
hex1f6a484d80

134927109504 has 640 divisors, whose sum is σ = 468127123200. Its totient is φ = 38145945600.

The previous prime is 134927109503. The next prime is 134927109517. The reversal of 134927109504 is 405901729431.

134927109504 is a `hidden beast` number, since 1 + 3 + 492 + 7 + 109 + 50 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 134927109504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134927109503) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 153850314 + ... + 153851190.

It is an arithmetic number, because the mean of its divisors is an integer number (731448630).

Almost surely, 2134927109504 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 134927109504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234063561600).

134927109504 is an abundant number, since it is smaller than the sum of its proper divisors (333200013696).

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

134927109504 is a wasteful number, since it uses less digits than its factorization.

134927109504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 134927109504 in words is "one hundred thirty-four billion, nine hundred twenty-seven million, one hundred nine thousand, five hundred four".