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132897617552 = 24713978710847
BaseRepresentation
bin111101111000101010…
…0001011011010010000
3110201000212022110122102
41323301110023122100
54134133242230202
6141015145055532
712413220052640
oct1736124133220
9421025273572
10132897617552
11513a8271087
122190b1875a8
13c6bc2c002b
14660a260520
1536cc431d02
hex1ef150b690

132897617552 has 80 divisors (see below), whose sum is σ = 296794337280. Its totient is φ = 56469308544.

The previous prime is 132897617527. The next prime is 132897617579. The reversal of 132897617552 is 255716798231.

132897617552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12246593 + ... + 12257439.

It is an arithmetic number, because the mean of its divisors is an integer number (3709929216).

Almost surely, 2132897617552 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 132897617552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148397168640).

132897617552 is an abundant number, since it is smaller than the sum of its proper divisors (163896719728).

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

132897617552 is a wasteful number, since it uses less digits than its factorization.

132897617552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11788 (or 11782 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 56.

The spelling of 132897617552 in words is "one hundred thirty-two billion, eight hundred ninety-seven million, six hundred seventeen thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 139 278 556 787 973 1112 1574 1946 2224 3148 3892 5509 6296 7784 10847 11018 12592 15568 21694 22036 43388 44072 75929 86776 88144 109393 151858 173552 218786 303716 437572 607432 765751 875144 1214864 1507733 1531502 1750288 3015466 3063004 6030932 6126008 8536589 10554131 12061864 12252016 17073178 21108262 24123728 34146356 42216524 59756123 68292712 84433048 119512246 136585424 168866096 239024492 478048984 956097968 1186585871 2373171742 4746343484 8306101097 9492686968 16612202194 18985373936 33224404388 66448808776 132897617552