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132393161393231 = 6110198324119067
BaseRepresentation
bin11110000110100100101111…
…010110110000010001001111
3122100202122220001101021211112
4132012210233112300101033
5114323112143304040411
61145324325000042235
736613042650002504
oct3606445726602117
9570678801337745
10132393161393231
113920369613a982
1212a22821a6337b
1358b481070c5bb
142499c128a74ab
151048cb38d5b8b
hex78692f5b044f

132393161393231 has 32 divisors (see below), whose sum is σ = 136105531117056. Its totient is φ = 128734661520000.

The previous prime is 132393161393191. The next prime is 132393161393267.

132393161393231 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-132393161393231 is a prime.

It is a super-2 number, since 2×1323931613932312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132393161393231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132393161293231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14601645560 + ... + 14601654626.

It is an arithmetic number, because the mean of its divisors is an integer number (4253297847408).

Almost surely, 2132393161393231 is an apocalyptic number.

132393161393231 is a deficient number, since it is larger than the sum of its proper divisors (3712369723825).

132393161393231 is a wasteful number, since it uses less digits than its factorization.

132393161393231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12623.

The product of its digits is 1417176, while the sum is 50.

The spelling of 132393161393231 in words is "one hundred thirty-two trillion, three hundred ninety-three billion, one hundred sixty-one million, three hundred ninety-three thousand, two hundred thirty-one".

Divisors: 1 61 101 983 2411 6161 9067 59963 99283 147071 243511 553087 915767 2370013 6056263 8912861 14854171 21860537 55861787 144570793 239371313 543684521 900198961 1333492757 2207914237 14601650093 21488907871 54912136621 134682768457 1310823380131 2170379694971 132393161393231