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132233066751051 = 32731411611644947
BaseRepresentation
bin11110000100001111101000…
…111110001010010001001011
3122100012100122210001211011200
4132010033220332022101023
5114313001310042013201
61145123010544155243
736565344444000540
oct3604175076122113
9570170583054150
10132233066751051
1139151801965742
12129b77a2608b23
1358a26a8986ab6
142492186598bc7
151044a439a1386
hex7843e8f8a44b

132233066751051 has 48 divisors (see below), whose sum is σ = 225336715388928. Its totient is φ = 73122455548800.

The previous prime is 132233066751011. The next prime is 132233066751053. The reversal of 132233066751051 is 150157660332231.

132233066751051 is a `hidden beast` number, since 1 + 3 + 2 + 23 + 3 + 0 + 6 + 67 + 510 + 51 = 666.

It is not a de Polignac number, because 132233066751051 - 29 = 132233066750539 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132233066750988 and 132233066751006.

It is not an unprimeable number, because it can be changed into a prime (132233066751053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79564960 + ... + 81209906.

It is an arithmetic number, because the mean of its divisors is an integer number (4694514903936).

Almost surely, 2132233066751051 is an apocalyptic number.

132233066751051 is a deficient number, since it is larger than the sum of its proper divisors (93103648637877).

132233066751051 is a wasteful number, since it uses less digits than its factorization.

132233066751051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686152 (or 1686149 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 132233066751051 in words is "one hundred thirty-two trillion, two hundred thirty-three billion, sixty-six million, seven hundred fifty-one thousand, fifty-one".

Divisors: 1 3 7 9 21 31 63 93 217 279 651 1953 41161 123483 288127 370449 864381 1275991 1644947 2593143 3827973 4934841 8931937 11483919 11514629 14804523 26795811 34543887 50993357 80387433 103631661 152980071 356953499 458940213 1070860497 3212581491 67707663467 203122990401 473953644269 609368971203 1421860932807 2098937567477 4265582798421 6296812702431 14692562972339 18890438107293 44077688917017 132233066751051