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132153464510431 = 7131979979974353
BaseRepresentation
bin11110000011000101100000…
…010011101101011111011111
3122022220202012011102000110121
4132003011200103231133133
5114310200243403313211
61145022244040015411
736556526022056350
oct3603054023553737
9568822164360417
10132153464510431
1139120a73534121
12129a4287a61567
13589803108a780
14248c39459dd27
1510429353a2271
hex7831604ed7df

132153464510431 has 64 divisors (see below), whose sum is σ = 175165615206400. Its totient is φ = 96795580317696.

The previous prime is 132153464510413. The next prime is 132153464510437. The reversal of 132153464510431 is 134015464351231.

It is not a de Polignac number, because 132153464510431 - 29 = 132153464509919 is a prime.

It is a super-2 number, since 2×1321534645104312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132153464510437) 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, 8262151 + ... + 18236503.

It is an arithmetic number, because the mean of its divisors is an integer number (2736962737600).

Almost surely, 2132153464510431 is an apocalyptic number.

132153464510431 is a deficient number, since it is larger than the sum of its proper divisors (43012150695969).

132153464510431 is a wasteful number, since it uses less digits than its factorization.

132153464510431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9974568.

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 132153464510431 in words is "one hundred thirty-two trillion, one hundred fifty-three billion, four hundred sixty-four million, five hundred ten thousand, four hundred thirty-one".

Divisors: 1 7 13 19 79 91 97 133 247 553 679 1027 1261 1501 1729 1843 7189 7663 8827 10507 12901 19513 23959 53641 99619 136591 145597 167713 697333 1019179 1892761 9974353 13249327 69820471 129666589 189512707 787973887 907666123 967512241 1326588949 2463665191 5515817209 6772585687 10243660531 12577659133 14971503853 17245656337 18382732579 71705623717 76433467039 88043613931 104800526971 128679128053 194629550089 238975523527 535034269273 993635071507 1362406850623 1452235873741 1672828664689 6955445500549 10165651116187 18879066358633 132153464510431