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20292259968 = 273413992
BaseRepresentation
bin10010111001100000…
…110101000010000000
31221101012110121120000
4102321200311002000
5313024304304333
613153325320000
71315601235531
oct227140650200
957335417500
1020292259968
1186734a7292
123b23a06000
131bb50c5726
14da7042688
157db74b713
hex4b9835080

20292259968 has 120 divisors (see below), whose sum is σ = 60432633855. Its totient is φ = 6759251712.

The previous prime is 20292259963. The next prime is 20292260003. The reversal of 20292259968 is 86995229202.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

20292259968 is a `hidden beast` number, since 2 + 0 + 29 + 22 + 599 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10146129984 + 10146129984 = 100728^2 + 100728^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=100728.

It is a super-2 number, since 2×202922599682 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (20292259963) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 14504133 + ... + 14505531.

Almost surely, 220292259968 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 20292259968

20292259968 is an abundant number, since it is smaller than the sum of its proper divisors (40140373887).

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

20292259968 is an frugal number, since it uses more digits than its factorization.

20292259968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 20292259968 in words is "twenty billion, two hundred ninety-two million, two hundred fifty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1399 1728 2592 2798 3456 4197 5184 5596 8394 10368 11192 12591 16788 22384 25182 33576 37773 44768 50364 67152 75546 89536 100728 113319 134304 151092 179072 201456 226638 268608 302184 402912 453276 537216 604368 805824 906552 1208736 1611648 1813104 1957201 2417472 3626208 3914402 4834944 5871603 7252416 7828804 11743206 14504832 15657608 17614809 23486412 31315216 35229618 46972824 52844427 62630432 70459236 93945648 105688854 125260864 140918472 158533281 187891296 211377708 250521728 281836944 317066562 375782592 422755416 563673888 634133124 751565184 845510832 1127347776 1268266248 1691021664 2254695552 2536532496 3382043328 5073064992 6764086656 10146129984 20292259968