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61142037561 = 32111721358859
BaseRepresentation
bin111000111100010110…
…010111010000111001
312211211002112022202200
4320330112113100321
52000204330200221
644031022020413
74263104513163
oct707426272071
9184732468680
1061142037561
1123a260a4860
12ba24417709
1359c5238c67
142d60415933
1518ccb3e426
hexe3c597439

61142037561 has 24 divisors (see below), whose sum is σ = 96401279520. Its totient is φ = 37034145600.

The previous prime is 61142037559. The next prime is 61142037571. The reversal of 61142037561 is 16573024116.

61142037561 is a `hidden beast` number, since 61 + 1 + 4 + 2 + 0 + 37 + 561 = 666.

It is not a de Polignac number, because 61142037561 - 21 = 61142037559 is a prime.

It is a super-2 number, since 2×611420375612 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61142037571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9051 + ... + 349808.

It is an arithmetic number, because the mean of its divisors is an integer number (4016719980).

Almost surely, 261142037561 is an apocalyptic number.

It is an amenable number.

61142037561 is a deficient number, since it is larger than the sum of its proper divisors (35259241959).

61142037561 is a wasteful number, since it uses less digits than its factorization.

61142037561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360597 (or 360594 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 61142037561 in words is "sixty-one billion, one hundred forty-two million, thirty-seven thousand, five hundred sixty-one".

Divisors: 1 3 9 11 33 99 1721 5163 15489 18931 56793 170379 358859 1076577 3229731 3947449 11842347 35527041 617596339 1852789017 5558367051 6793559729 20380679187 61142037561