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20074419520 = 2653119910169
BaseRepresentation
bin10010101100100001…
…110101010101000000
31220211000120011122021
4102230201311111000
5312103022411040
613115544251224
71310314515301
oct225441652500
956730504567
1020074419520
118571539561
123a82a70b14
131b7bc32c5c
14d861387a8
157c756b24a
hex4ac875540

20074419520 has 112 divisors (see below), whose sum is σ = 49597056000. Its totient is φ = 7730933760.

The previous prime is 20074419499. The next prime is 20074419559. The reversal of 20074419520 is 2591447002.

It is a congruent number.

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, 1968996 + ... + 1979164.

Almost surely, 220074419520 is an apocalyptic number.

20074419520 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 20074419520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24798528000).

20074419520 is an abundant number, since it is smaller than the sum of its proper divisors (29522636480).

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

20074419520 is a wasteful number, since it uses less digits than its factorization.

20074419520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10416 (or 10406 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 20074419520 in words is "twenty billion, seventy-four million, four hundred nineteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 199 248 310 320 398 496 620 796 992 995 1240 1592 1984 1990 2480 3184 3980 4960 6169 6368 7960 9920 10169 12338 12736 15920 20338 24676 30845 31840 40676 49352 50845 61690 63680 81352 98704 101690 123380 162704 197408 203380 246760 315239 325408 394816 406760 493520 630478 650816 813520 987040 1260956 1576195 1627040 1974080 2023631 2521912 3152390 3254080 4047262 5043824 6304780 8094524 10087648 10118155 12609560 16189048 20175296 20236310 25219120 32378096 40472620 50438240 62732561 64756192 80945240 100876480 125465122 129512384 161890480 250930244 313662805 323780960 501860488 627325610 647561920 1003720976 1254651220 2007441952 2509302440 4014883904 5018604880 10037209760 20074419520