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132366155010045 = 35117176917598353
BaseRepresentation
bin11110000110001011100101…
…101001100100111111111101
3122100200002011221002212201020
4132012023211221210333331
5114322141341140310140
61145304101103334353
736611065500352455
oct3606134551447775
9570602157085636
10132366155010045
11391a31977a7530
1212a195455b13b9
1358b20c86054c8
1424987adc82d65
1510482329de6d0
hex7862e5a64ffd

132366155010045 has 128 divisors (see below), whose sum is σ = 234759322828800. Its totient is φ = 63147855052800.

The previous prime is 132366155010031. The next prime is 132366155010053. The reversal of 132366155010045 is 540010551663231.

It is a happy number.

It is not a de Polignac number, because 132366155010045 - 214 = 132366154993661 is a prime.

It is a super-2 number, since 2×1323661550100452 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132366155009979 and 132366155010006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15846536589 + ... + 15846544941.

It is an arithmetic number, because the mean of its divisors is an integer number (1834057209600).

Almost surely, 2132366155010045 is an apocalyptic number.

132366155010045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132366155010045 is a deficient number, since it is larger than the sum of its proper divisors (102393167818755).

132366155010045 is a wasteful number, since it uses less digits than its factorization.

132366155010045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10971.

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 132366155010045 in words is "one hundred thirty-two trillion, three hundred sixty-six billion, one hundred fifty-five million, ten thousand, forty-five".

Divisors: 1 3 5 11 15 33 55 71 165 213 355 769 781 1065 1759 2307 2343 3845 3905 5277 8353 8459 8795 11535 11715 19349 25059 25377 26385 41765 42295 54599 58047 91883 96745 124889 125295 126885 163797 272995 275649 290235 374667 459415 593063 600589 624445 818985 1352671 1373779 1378245 1779189 1801767 1873335 2965315 3002945 4058013 4121337 6423457 6523693 6763355 6868895 8895945 9008835 14692927 14879381 19270371 19571079 20290065 20606685 32117285 32618465 44078781 44638143 70658027 73464635 74396905 96039641 96351855 97855395 161622197 211974081 220393905 223190715 288118923 353290135 456065447 480198205 484866591 808110985 1043197817 1056436051 1059870405 1368196341 1440594615 2280327235 2424332955 3129593451 3169308153 5016719917 5215989085 5282180255 6840981705 11298860863 11475175987 15050159751 15647967255 15846540765 25083599585 33896582589 34425527961 56494304315 57375879935 75250798755 124287469493 169482912945 172127639805 372862408479 621437347465 802219121273 1864312042395 2406657363819 4011095606365 8824410334003 12033286819095 26473231002009 44122051670015 132366155010045