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132810503346304 = 277732030493263
BaseRepresentation
bin11110001100101001011010…
…110111111101100010000000
3122102020120010022220011011121
4132030221122313331202000
5114401431402324040204
61150244145234322024
736655146040035460
oct3614513267754200
9572216108804147
10132810503346304
113935468885a2a3
1212a8b694a29314
135914c90b3a624
1424b20c3d1dba0
151054a8ca00b54
hex78ca5adfd880

132810503346304 has 64 divisors (see below), whose sum is σ = 306523263133440. Its totient is φ = 56139077707776.

The previous prime is 132810503346247. The next prime is 132810503346319. The reversal of 132810503346304 is 403643305018231.

132810503346304 is digitally balanced in base 3 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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, 1015181224 + ... + 1015312039.

It is an arithmetic number, because the mean of its divisors is an integer number (4789425986460).

Almost surely, 2132810503346304 is an apocalyptic number.

132810503346304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132810503346304 is an abundant number, since it is smaller than the sum of its proper divisors (173712759787136).

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

132810503346304 is an equidigital number, since it uses as much as digits as its factorization.

132810503346304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030493357 (or 2030493345 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 132810503346304 in words is "one hundred thirty-two trillion, eight hundred ten billion, five hundred three million, three hundred forty-six thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 128 146 224 292 448 511 584 896 1022 1168 2044 2336 4088 4672 8176 9344 16352 32704 65408 2030493263 4060986526 8121973052 14213452841 16243946104 28426905682 32487892208 56853811364 64975784416 113707622728 129951568832 148226008199 227415245456 259903137664 296452016398 454830490912 592904032796 909660981824 1037582057393 1185808065592 1819321963648 2075164114786 2371616131184 4150328229572 4743232262368 8300656459144 9486464524736 16601312918288 18972929049472 33202625836576 66405251673152 132810503346304