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20579742568 = 23711236072393
BaseRepresentation
bin10011001010101001…
…011111001101101000
31222010020102020112201
4103022221133031220
5314121403230233
613242035145544
71325661632320
oct231251371550
958106366481
1020579742568
118800801210
123ba41452b4
131c2c82cb88
14dd32b8280
15806ad677d
hex4caa5f368

20579742568 has 128 divisors (see below), whose sum is σ = 50303877120. Its totient is φ = 7653634560.

The previous prime is 20579742551. The next prime is 20579742577. The reversal of 20579742568 is 86524797502.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8598780 + ... + 8601172.

It is an arithmetic number, because the mean of its divisors is an integer number (392999040).

Almost surely, 220579742568 is an apocalyptic number.

20579742568 is a gapful number since it is divisible by the number (28) 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 20579742568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25151938560).

20579742568 is an abundant number, since it is smaller than the sum of its proper divisors (29724134552).

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

20579742568 is a wasteful number, since it uses less digits than its factorization.

20579742568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3047 (or 3043 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 55.

The spelling of 20579742568 in words is "twenty billion, five hundred seventy-nine million, seven hundred forty-two thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 22 23 28 44 46 56 77 88 92 154 161 184 253 308 322 506 607 616 644 1012 1214 1288 1771 2024 2393 2428 3542 4249 4786 4856 6677 7084 8498 9572 13354 13961 14168 16751 16996 19144 26323 26708 27922 33502 33992 46739 52646 53416 55039 55844 67004 93478 97727 105292 110078 111688 134008 153571 184261 186956 195454 210584 220156 307142 368522 373912 385273 390908 440312 605429 614284 737044 770546 781816 1074997 1210858 1228568 1452551 1474088 1541092 2149994 2421716 2905102 3082184 4238003 4299988 4843432 5810204 8476006 8599976 10167857 11620408 15978061 16952012 20335714 31956122 33408673 33904024 40671428 63912244 66817346 81342856 111846427 127824488 133634692 223692854 233860711 267269384 367495403 447385708 467721422 734990806 894771416 935442844 1469981612 1870885688 2572467821 2939963224 5144935642 10289871284 20579742568