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132771720143360 = 295113458973037
BaseRepresentation
bin11110001100000101010011…
…001101110010001000000000
3122102002212000110110022102202
4132030011103031302020000
5114400312440324041420
61150214253003532332
736652303666202114
oct3614052315621000
9572085013408382
10132771720143360
113933a19673a961
1212a8407052a0a8
13591141cbb0b2c
1424b02851b5744
151053a6cc71575
hex78c153372200

132771720143360 has 80 divisors (see below), whose sum is σ = 321158121825816. Its totient is φ = 52638699552768.

The previous prime is 132771720143329. The next prime is 132771720143369. The reversal of 132771720143360 is 63341027177231.

It can be written as a sum of positive squares in 4 ways, for example, as 52864997972224 + 79906722171136 = 7270832^2 + 8939056^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (132771720143369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229197239 + ... + 229775798.

Almost surely, 2132771720143360 is an apocalyptic number.

132771720143360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132771720143360 is an abundant number, since it is smaller than the sum of its proper divisors (188386401682456).

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

132771720143360 is an equidigital number, since it uses as much as digits as its factorization.

132771720143360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458973173 (or 458973157 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 47.

The spelling of 132771720143360 in words is "one hundred thirty-two trillion, seven hundred seventy-one billion, seven hundred twenty million, one hundred forty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 128 160 226 256 320 452 512 565 640 904 1130 1280 1808 2260 2560 3616 4520 7232 9040 14464 18080 28928 36160 57856 72320 144640 289280 458973037 917946074 1835892148 2294865185 3671784296 4589730370 7343568592 9179460740 14687137184 18358921480 29374274368 36717842960 51863953181 58748548736 73435685920 103727906362 117497097472 146871371840 207455812724 234994194944 259319765905 293742743680 414911625448 518639531810 587485487360 829823250896 1037279063620 1174970974720 1659646501792 2074558127240 3319293003584 4149116254480 6638586007168 8298232508960 13277172014336 16596465017920 26554344028672 33192930035840 66385860071680 132771720143360