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132315551352 = 23333119760387
BaseRepresentation
bin111101100111010011…
…1110001011001111000
3110122112022001102221000
41323032213301121320
54131440240120402
6140441313245000
712362621425635
oct1731647613170
9418468042830
10132315551352
1151129752136
1221788263760
13c62883326a
146592c2518c
1536962a7c1c
hex1ece9f1678

132315551352 has 64 divisors (see below), whose sum is σ = 379399449600. Its totient is φ = 42682433760.

The previous prime is 132315551287. The next prime is 132315551437. The reversal of 132315551352 is 253155513231.

132315551352 is a `hidden beast` number, since 13 + 2 + 31 + 55 + 513 + 52 = 666.

132315551352 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 (36).

It is a congruent number.

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, 9873498 + ... + 9886889.

It is an arithmetic number, because the mean of its divisors is an integer number (5928116400).

Almost surely, 2132315551352 is an apocalyptic number.

132315551352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132315551352 is an abundant number, since it is smaller than the sum of its proper divisors (247083898248).

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

132315551352 is a wasteful number, since it uses less digits than its factorization.

132315551352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19760433 (or 19760423 counting only the distinct ones).

The product of its digits is 67500, while the sum is 36.

The spelling of 132315551352 in words is "one hundred thirty-two billion, three hundred fifteen million, five hundred fifty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1116 1674 2232 3348 6696 19760387 39520774 59281161 79041548 118562322 158083096 177843483 237124644 355686966 474249288 533530449 612571997 711373932 1067060898 1225143994 1422747864 1837715991 2134121796 2450287988 3675431982 4268243592 4900575976 5513147973 7350863964 11026295946 14701727928 16539443919 22052591892 33078887838 44105183784 66157775676 132315551352