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20507414560 = 2552310752081
BaseRepresentation
bin10011000110010101…
…100101000000100000
31221221012022121011121
4103012111211000200
5313444344231220
613230533022024
71324123101433
oct230625450040
957835277147
1020507414560
1187739a00a6
123b83a84914
131c1a857839
14dc784b81a
1580059aeaa
hex4c6565020

20507414560 has 96 divisors (see below), whose sum is σ = 51028693632. Its totient is φ = 7772835840.

The previous prime is 20507414549. The next prime is 20507414561. The reversal of 20507414560 is 6541470502.

It is not an unprimeable number, because it can be changed into a prime (20507414561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367720 + ... + 419800.

It is an arithmetic number, because the mean of its divisors is an integer number (531548892).

Almost surely, 220507414560 is an apocalyptic number.

20507414560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20507414560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25514346816).

20507414560 is an abundant number, since it is smaller than the sum of its proper divisors (30521279072).

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

20507414560 is a wasteful number, since it uses less digits than its factorization.

20507414560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52226 (or 52218 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The spelling of 20507414560 in words is "twenty billion, five hundred seven million, four hundred fourteen thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 107 115 160 184 214 230 368 428 460 535 736 856 920 1070 1712 1840 2140 2461 3424 3680 4280 4922 8560 9844 12305 17120 19688 24610 39376 49220 52081 78752 98440 104162 196880 208324 260405 393760 416648 520810 833296 1041620 1197863 1666592 2083240 2395726 4166480 4791452 5572667 5989315 8332960 9582904 11145334 11978630 19165808 22290668 23957260 27863335 38331616 44581336 47914520 55726670 89162672 95829040 111453340 128171341 178325344 191658080 222906680 256342682 445813360 512685364 640856705 891626720 1025370728 1281713410 2050741456 2563426820 4101482912 5126853640 10253707280 20507414560