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132845101415052 = 223137571124928881
BaseRepresentation
bin11110001101001001101001…
…000101000111101010001100
3122102100212102112021011002020
4132031021221011013222030
5114403013231430240202
61150312110323130140
736660512311544535
oct3615115105075214
9572325375234066
10132845101415052
1139368322536444
1212a9632b813950
1359183159c4960
1424b3a46cc168c
15105591513a5bc
hex78d269147a8c

132845101415052 has 48 divisors (see below), whose sum is σ = 334256868281952. Its totient is φ = 40821419197440.

The previous prime is 132845101415017. The next prime is 132845101415071. The reversal of 132845101415052 is 250514101548231.

It is a happy number.

132845101415052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 132845101414995 and 132845101415013.

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, 562346349 + ... + 562582532.

It is an arithmetic number, because the mean of its divisors is an integer number (6963684755874).

Almost surely, 2132845101415052 is an apocalyptic number.

132845101415052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132845101415052 is an abundant number, since it is smaller than the sum of its proper divisors (201411766866900).

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

132845101415052 is a wasteful number, since it uses less digits than its factorization.

132845101415052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124929658 (or 1124929656 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 42.

The spelling of 132845101415052 in words is "one hundred thirty-two trillion, eight hundred forty-five billion, one hundred one million, four hundred fifteen thousand, fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 757 1514 2271 3028 4542 9084 9841 19682 29523 39364 59046 118092 1124928881 2249857762 3374786643 4499715524 6749573286 13499146572 14624075453 29248150906 43872226359 58496301812 87744452718 175488905436 851571162917 1703142325834 2554713488751 3406284651668 5109426977502 10218853955004 11070425117921 22140850235842 33211275353763 44281700471684 66422550707526 132845101415052