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132316977000 = 23353134378901
BaseRepresentation
bin111101100111010110…
…1001101011101101000
3110122112101201212112210
41323032231031131220
54131441121231000
6140441404005120
712362636514225
oct1731655153550
9418471655483
10132316977000
115112a53625a
12217888307a0
13c628c12140
1465930b694c
15369648a350
hex1eceb4d768

132316977000 has 256 divisors, whose sum is σ = 454929995520. Its totient is φ = 31812480000.

The previous prime is 132316976983. The next prime is 132316977029. The reversal of 132316977000 is 779613231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 132316977000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1637550 + ... + 1716450.

It is an arithmetic number, because the mean of its divisors is an integer number (1777070295).

Almost surely, 2132316977000 is an apocalyptic number.

132316977000 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 132316977000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227464997760).

132316977000 is an abundant number, since it is smaller than the sum of its proper divisors (322613018520).

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

132316977000 is a wasteful number, since it uses less digits than its factorization.

132316977000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78981 (or 78967 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 39.

The spelling of 132316977000 in words is "one hundred thirty-two billion, three hundred sixteen million, nine hundred seventy-seven thousand".