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132233672544 = 2531972496531
BaseRepresentation
bin111101100100110111…
…1011011011101100000
3110122022120222120022120
41323021233123131200
54131303310010134
6140425230304240
712360605446131
oct1731157333540
9418276876276
10132233672544
11510975083a6
1221764958080
13c61489596c
146585dcdc88
15368ded2649
hex1ec9bdb760

132233672544 has 48 divisors (see below), whose sum is σ = 365382521280. Its totient is φ = 41758001280.

The previous prime is 132233672539. The next prime is 132233672569. The reversal of 132233672544 is 445276332231.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 132233672496 and 132233672505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36246442 + ... + 36250089.

It is an arithmetic number, because the mean of its divisors is an integer number (7612135860).

Almost surely, 2132233672544 is an apocalyptic number.

It is an amenable number.

132233672544 is an abundant number, since it is smaller than the sum of its proper divisors (233148848736).

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

132233672544 is a wasteful number, since it uses less digits than its factorization.

132233672544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72496563 (or 72496555 counting only the distinct ones).

The product of its digits is 725760, while the sum is 42.

The spelling of 132233672544 in words is "one hundred thirty-two billion, two hundred thirty-three million, six hundred seventy-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 72496531 144993062 217489593 289986124 434979186 579972248 869958372 1159944496 1377434089 1739916744 2319888992 2754868178 3479833488 4132302267 5509736356 6959666976 8264604534 11019472712 16529209068 22038945424 33058418136 44077890848 66116836272 132233672544