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132215565157551 = 3523138311710389
BaseRepresentation
bin11110000011111111010101…
…110010111000010010101111
3122100010200111001201202100000
4132003333111302320102233
5114312204434140020201
61145110554144235343
736564154646624601
oct3603772562702257
9570120431652300
10132215565157551
1139145340751487
12129b431930bb53
1358a0b49aa1205
1424913a602b171
15104436c248d86
hex783fd5cb84af

132215565157551 has 48 divisors (see below), whose sum is σ = 206677288097280. Its totient is φ = 84305229766560.

The previous prime is 132215565157519. The next prime is 132215565157619. The reversal of 132215565157551 is 155751565512231.

132215565157551 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 1 + 5 + 5 + 6 + 515 + 75 + 51 = 666.

It is not a de Polignac number, because 132215565157551 - 25 = 132215565157519 is a prime.

It is a super-2 number, since 2×1322155651575512 (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 (132215565257551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76446265 + ... + 78156653.

It is an arithmetic number, because the mean of its divisors is an integer number (4305776835360).

Almost surely, 2132215565157551 is an apocalyptic number.

132215565157551 is a deficient number, since it is larger than the sum of its proper divisors (74461722939729).

132215565157551 is a wasteful number, since it uses less digits than its factorization.

132215565157551 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724258 (or 1724246 counting only the distinct ones).

The product of its digits is 7875000, while the sum is 54.

The spelling of 132215565157551 in words is "one hundred thirty-two trillion, two hundred fifteen billion, five hundred sixty-five million, one hundred fifty-seven thousand, five hundred fifty-one".

Divisors: 1 3 9 23 27 69 81 207 243 621 1863 5589 13831 41493 124479 318113 373437 954339 1120311 1710389 2863017 3360933 5131167 8589051 15393501 25767153 39338947 46180503 77301459 118016841 138541509 354050523 415624527 1062151569 3186454707 9559364121 23656390259 70969170777 212907512331 544096975957 638722536993 1632290927871 1916167610979 4896872783613 5748502832937 14690618350839 44071855052517 132215565157551