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61142519961 = 3283509160807
BaseRepresentation
bin111000111100011000…
…001101000010011001
312211211010102211111100
4320330120031002121
52000204441114321
644031040222013
74263111562455
oct707430150231
9184733384440
1061142519961
1123a263a4236
12ba2460a909
1359c53776c3
142d604dd665
1518ccbd7326
hexe3c60d099

61142519961 has 24 divisors (see below), whose sum is σ = 89557191360. Its totient is φ = 40191208416.

The previous prime is 61142519951. The next prime is 61142519969. The reversal of 61142519961 is 16991524116.

61142519961 is a `hidden beast` number, since 6 + 1 + 1 + 42 + 519 + 96 + 1 = 666.

It is not a de Polignac number, because 61142519961 - 211 = 61142517913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (61142519969) 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, 299820 + ... + 460626.

It is an arithmetic number, because the mean of its divisors is an integer number (3731549640).

Almost surely, 261142519961 is an apocalyptic number.

It is an amenable number.

61142519961 is a deficient number, since it is larger than the sum of its proper divisors (28414671399).

61142519961 is a wasteful number, since it uses less digits than its factorization.

61142519961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161405 (or 161402 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The spelling of 61142519961 in words is "sixty-one billion, one hundred forty-two million, five hundred nineteen thousand, nine hundred sixty-one".

Divisors: 1 3 9 83 249 509 747 1527 4581 42247 126741 160807 380223 482421 1447263 13346981 40040943 81850763 120122829 245552289 736656867 6793613329 20380839987 61142519961