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61853540991 = 31141132134607
BaseRepresentation
bin111001100110110000…
…100010001001111111
312220122200100102222120
4321212300202021333
52003134001302431
644225400014023
74316534265204
oct714660421177
9186580312876
1061853540991
1124260790920
12bba2761313
135aa97752c8
142dcab05cab
151920335196
hexe66c2227f

61853540991 has 32 divisors (see below), whose sum is σ = 92235580416. Its totient is φ = 36543936000.

The previous prime is 61853540941. The next prime is 61853540999. The reversal of 61853540991 is 19904535816.

It is not a de Polignac number, because 61853540991 - 210 = 61853539967 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61853540999) 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 31 ways as a sum of consecutive naturals, for example, 1770010 + ... + 1804616.

It is an arithmetic number, because the mean of its divisors is an integer number (2882361888).

Almost surely, 261853540991 is an apocalyptic number.

61853540991 is a deficient number, since it is larger than the sum of its proper divisors (30382039425).

61853540991 is a wasteful number, since it uses less digits than its factorization.

61853540991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35983.

The product of its (nonzero) digits is 1166400, while the sum is 51.

It can be divided in two parts, 618535 and 40991, that added together give a triangular number (659526 = T1148).

The spelling of 61853540991 in words is "sixty-one billion, eight hundred fifty-three million, five hundred forty thousand, nine hundred ninety-one".

Divisors: 1 3 11 33 41 123 451 1321 1353 3963 14531 34607 43593 54161 103821 162483 380677 595771 1142031 1418887 1787313 4256661 15607757 45715847 46823271 137147541 502874317 1508622951 1874349727 5623049181 20617846997 61853540991