Search a number
-
+
132934136760 = 2332531112310607
BaseRepresentation
bin111101111001101111…
…1011111001110111000
3110201010102000211120200
41323303133133032320
54134222114334020
6141022531522200
712414142342635
oct1736337371670
9421112024520
10132934136760
1151416944547
122191b459360
13c6c6a38429
14661104918c
1536d0747590
hex1ef37df3b8

132934136760 has 192 divisors, whose sum is σ = 446411796480. Its totient is φ = 34271804160.

The previous prime is 132934136737. The next prime is 132934136773. The reversal of 132934136760 is 67631439231.

132934136760 is a `hidden beast` number, since 1 + 32 + 93 + 413 + 67 + 60 = 666.

It is a super-2 number, since 2×1329341367602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12527377 + ... + 12537983.

It is an arithmetic number, because the mean of its divisors is an integer number (2325061440).

Almost surely, 2132934136760 is an apocalyptic number.

132934136760 is a gapful number since it is divisible by the number (10) 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 132934136760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223205898240).

132934136760 is an abundant number, since it is smaller than the sum of its proper divisors (313477659720).

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

132934136760 is a wasteful number, since it uses less digits than its factorization.

132934136760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11778 (or 11771 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 132934136760 in words is "one hundred thirty-two billion, nine hundred thirty-four million, one hundred thirty-six thousand, seven hundred sixty".