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20425979440 = 24510311321937
BaseRepresentation
bin10011000001011110…
…111011011000110000
31221201112002021012001
4103001132323120300
5313313022320230
613214503343344
71322113650316
oct230136733060
957645067161
1020425979440
118731a29749
123b60751b54
131c06a14189
14dbaad00b6
157e83620ca
hex4c17bb630

20425979440 has 80 divisors (see below), whose sum is σ = 48378028608. Its totient is φ = 8019099648.

The previous prime is 20425979407. The next prime is 20425979473. The reversal of 20425979440 is 4497952402.

It is an interprime number because it is at equal distance from previous prime (20425979407) and next prime (20425979473).

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 920152 + ... + 942088.

Almost surely, 220425979440 is an apocalyptic number.

20425979440 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 20425979440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24189014304).

20425979440 is an abundant number, since it is smaller than the sum of its proper divisors (27952049168).

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

20425979440 is a wasteful number, since it uses less digits than its factorization.

20425979440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22166 (or 22160 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 20425979440 in words is "twenty billion, four hundred twenty-five million, nine hundred seventy-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 113 206 226 412 452 515 565 824 904 1030 1130 1648 1808 2060 2260 4120 4520 8240 9040 11639 21937 23278 43874 46556 58195 87748 93112 109685 116390 175496 186224 219370 232780 350992 438740 465560 877480 931120 1754960 2259511 2478881 4519022 4957762 9038044 9915524 11297555 12394405 18076088 19831048 22595110 24788810 36152176 39662096 45190220 49577620 90380440 99155240 180760880 198310480 255324743 510649486 1021298972 1276623715 2042597944 2553247430 4085195888 5106494860 10212989720 20425979440