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61130917566 = 236192206733
BaseRepresentation
bin111000111011101011…
…111100011010111110
312211210022121101000000
4320323223330122332
52000144003330231
644025543415130
74262611140315
oct707353743276
9184708541000
1061130917566
1123a1a89a184
12ba207544a6
1359c2b44694
142d5cb5d27c
1518cbb946e6
hexe3bafc6be

61130917566 has 56 divisors (see below), whose sum is σ = 144717615720. Its totient is φ = 19304491536.

The previous prime is 61130917553. The next prime is 61130917571. The reversal of 61130917566 is 66571903116.

61130917566 is a `hidden beast` number, since 61 + 13 + 0 + 9 + 17 + 566 = 666.

It is a super-2 number, since 2×611309175662 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1075665 + ... + 1131068.

Almost surely, 261130917566 is an apocalyptic number.

61130917566 is an abundant number, since it is smaller than the sum of its proper divisors (83586698154).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61130917566 is a wasteful number, since it uses less digits than its factorization.

61130917566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206772 (or 2206757 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 61130917566 in words is "sixty-one billion, one hundred thirty million, nine hundred seventeen thousand, five hundred sixty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 513 729 1026 1458 1539 3078 4617 9234 13851 27702 2206733 4413466 6620199 13240398 19860597 39721194 41927927 59581791 83855854 119163582 125783781 178745373 251567562 357490746 377351343 536236119 754702686 1072472238 1132054029 1608708357 2264108058 3217416714 3396162087 6792324174 10188486261 20376972522 30565458783 61130917566