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132661655456031 = 32132802871086353
BaseRepresentation
bin11110001010011110110010…
…110110010100100100011111
3122101201022220212022212201200
4132022132302312110210133
5114342012032244043111
61150051531223410543
736641326330612632
oct3612366266244437
9571638825285650
10132661655456031
11392a7546028249
1212a66873bb3a53
135903c2c185600
1424a8c03593c19
151050c7a14c256
hex78a7b2d9491f

132661655456031 has 36 divisors (see below), whose sum is σ = 207499210895808. Its totient is φ = 81636849844992.

The previous prime is 132661655456023. The next prime is 132661655456047. The reversal of 132661655456031 is 130654556166231.

132661655456031 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 6 + 1 + 6 + 5 + 545 + 60 + 31 = 666.

It is not a de Polignac number, because 132661655456031 - 23 = 132661655456023 is a prime.

It is a super-3 number, since 3×1326616554560313 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132661655456431) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121573351 + ... + 122659703.

It is an arithmetic number, because the mean of its divisors is an integer number (5763866969328).

Almost surely, 2132661655456031 is an apocalyptic number.

132661655456031 is a deficient number, since it is larger than the sum of its proper divisors (74837555439777).

132661655456031 is a wasteful number, since it uses less digits than its factorization.

132661655456031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166672 (or 1166656 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 132661655456031 in words is "one hundred thirty-two trillion, six hundred sixty-one billion, six hundred fifty-five million, four hundred fifty-six thousand, thirty-one".

Divisors: 1 3 9 13 39 117 169 507 1521 80287 240861 722583 1043731 1086353 3131193 3259059 9393579 9777177 13568503 14122589 40705509 42367767 122116527 127103301 183593657 550780971 1652342913 87220023311 261660069933 784980209799 1133860303043 3401580909129 10204742727387 14740183939559 44220551818677 132661655456031