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61840642734 = 232137919317333
BaseRepresentation
bin111001100101111111…
…010101001010101110
312220121210002010220100
4321211333111022232
52003122201031414
644224215331530
74316316535023
oct714577251256
9186553063810
1061840642734
1124254481202
12bb9a380ba6
135aa6baa4c0
142dc910954a
15191e138609
hexe65fd52ae

61840642734 has 96 divisors (see below), whose sum is σ = 146886929280. Its totient is φ = 18688610304.

The previous prime is 61840642727. The next prime is 61840642763. The reversal of 61840642734 is 43724604816.

61840642734 is a `hidden beast` number, since 618 + 4 + 0 + 6 + 4 + 27 + 3 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 61840642734.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3559132 + ... + 3576464.

It is an arithmetic number, because the mean of its divisors is an integer number (1530072180).

Almost surely, 261840642734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61840642734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73443464640).

61840642734 is an abundant number, since it is smaller than the sum of its proper divisors (85046286546).

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

61840642734 is a wasteful number, since it uses less digits than its factorization.

61840642734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17626 (or 17623 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 61840642734 in words is "sixty-one billion, eight hundred forty million, six hundred forty-two thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 79 117 158 193 234 237 386 474 579 711 1027 1158 1422 1737 2054 2509 3081 3474 5018 6162 7527 9243 15054 15247 17333 18486 22581 30494 34666 45162 45741 51999 91482 103998 137223 155997 198211 225329 274446 311994 396422 450658 594633 675987 1189266 1351974 1369307 1783899 2027961 2738614 3345269 3567798 4055922 4107921 6690538 8215842 10035807 12323763 17800991 20071614 24647526 30107421 35601982 43488497 53402973 60214842 86976994 106805946 130465491 160208919 260930982 264276251 320417838 391396473 528552502 782792946 792828753 1585657506 2378486259 3435591263 4756972518 6871182526 10306773789 20613547578 30920321367 61840642734