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132810806461401 = 32313997911906861
BaseRepresentation
bin11110001100101001101100…
…111100010000001111011001
3122102020120220110020222220200
4132030221230330100033121
5114401433012423231101
61150244235303212413
736655156410341115
oct3614515474201731
9572216813228820
10132810806461401
1139354823971142
1212a8b75a447109
13591500b889283
1424b21122a4745
151054aa9427986
hex78ca6cf103d9

132810806461401 has 24 divisors (see below), whose sum is σ = 198031118588160. Its totient is φ = 85682240834400.

The previous prime is 132810806461391. The next prime is 132810806461427. The reversal of 132810806461401 is 104164608018231.

132810806461401 is a `hidden beast` number, since 1 + 3 + 28 + 1 + 0 + 8 + 0 + 6 + 4 + 614 + 0 + 1 = 666.

It is not a de Polignac number, because 132810806461401 - 215 = 132810806428633 is a prime.

It is a super-2 number, since 2×1328108064614012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132810806461471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5200711 + ... + 17107571.

It is an arithmetic number, because the mean of its divisors is an integer number (8251296607840).

Almost surely, 2132810806461401 is an apocalyptic number.

It is an amenable number.

132810806461401 is a deficient number, since it is larger than the sum of its proper divisors (65220312126759).

132810806461401 is a wasteful number, since it uses less digits than its factorization.

132810806461401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11946877 (or 11946874 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 132810806461401 in words is "one hundred thirty-two trillion, eight hundred ten billion, eight hundred six million, four hundred sixty-one thousand, four hundred one".

Divisors: 1 3 9 31 93 279 39979 119937 359811 1239349 3718047 11154141 11906861 35720583 107161749 369112691 1107338073 3322014219 476024395919 1428073187757 4284219563271 14756756273489 44270268820467 132810806461401