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132162631342257 = 34317359913817159
BaseRepresentation
bin11110000011001110000010…
…101100011001100010110001
3122022221121212000102022201110
4132003032002230121202301
5114310323032110423012
61145030401421023533
736560302131622515
oct3603160254314261
9568847760368643
10132162631342257
1139124947a1359a
12129a60059b4ba9
135898b62281009
14248c9c3c02145
151042cc003573c
hex783382b198b1

132162631342257 has 64 divisors (see below), whose sum is σ = 181816892928000. Its totient is φ = 85345317308160.

The previous prime is 132162631342243. The next prime is 132162631342271. The reversal of 132162631342257 is 752243136261231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132162631342243) and next prime (132162631342271).

It is not a de Polignac number, because 132162631342257 - 27 = 132162631342129 is a prime.

It is a super-2 number, since 2×1321626313422572 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132162631343257) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18461042844 + ... + 18461050002.

It is an arithmetic number, because the mean of its divisors is an integer number (2840888952000).

Almost surely, 2132162631342257 is an apocalyptic number.

It is an amenable number.

132162631342257 is a deficient number, since it is larger than the sum of its proper divisors (49654261585743).

132162631342257 is a wasteful number, since it uses less digits than its factorization.

132162631342257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9358.

The product of its digits is 2177280, while the sum is 48.

The spelling of 132162631342257 in words is "one hundred thirty-two trillion, one hundred sixty-two billion, six hundred thirty-one million, three hundred forty-two thousand, two hundred fifty-seven".

Divisors: 1 3 43 129 173 519 599 1381 1797 4143 7159 7439 21477 22317 25757 59383 77271 103627 178149 238913 307837 310881 716739 827219 923511 1238507 2481657 3715521 4288241 4455961 9886579 10273259 12864723 13367883 29659737 30819777 35570417 53255801 106711251 143108887 159767403 184394363 425122897 429326661 553183089 741865693 1275368691 1710378167 2225597079 5131134501 5922060821 6153682141 17766182463 18461046423 31900224799 73546261181 95700674397 220638783543 254648615303 763945845909 1024516522033 3073549566099 44054210447419 132162631342257