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61563869960 = 23571173125303
BaseRepresentation
bin111001010101011111…
…100001101100001000
312212220111021122000212
4321111133201230020
52002040322314320
644140531220252
74306416155225
oct712537415410
9185814248025
1061563869960
112412222177a
12bb21747688
135a61752a28
142da046094c
151904bb69c5
hexe557e1b08

61563869960 has 64 divisors (see below), whose sum is σ = 141282766080. Its totient is φ = 24138177280.

The previous prime is 61563869953. The next prime is 61563869993. The reversal of 61563869960 is 6996836516.

61563869960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×615638699602 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61563869960.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428669 + ... + 553971.

It is an arithmetic number, because the mean of its divisors is an integer number (2207543220).

Almost surely, 261563869960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61563869960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70641383040).

61563869960 is an abundant number, since it is smaller than the sum of its proper divisors (79718896120).

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

61563869960 is a wasteful number, since it uses less digits than its factorization.

61563869960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125558 (or 125554 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 59.

The spelling of 61563869960 in words is "sixty-one billion, five hundred sixty-three million, eight hundred sixty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 71 142 173 284 346 355 568 692 710 865 1384 1420 1730 2840 3460 6920 12283 24566 49132 61415 98264 122830 125303 245660 250606 491320 501212 626515 1002424 1253030 2506060 5012120 8896513 17793026 21677419 35586052 43354838 44482565 71172104 86709676 88965130 108387095 173419352 177930260 216774190 355860520 433548380 867096760 1539096749 3078193498 6156386996 7695483745 12312773992 15390967490 30781934980 61563869960