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20113883440 = 2457233154153
BaseRepresentation
bin10010101110111000…
…011000000100110000
31220220202211010221221
4102232320120010300
5312143123232230
613123514154424
71311304121410
oct225670300460
956822733857
1020113883440
118591843372
123a94122a14
131b8716c7a1
14d8b48c640
157cac6427a
hex4aee18130

20113883440 has 80 divisors (see below), whose sum is σ = 53675189568. Its totient is φ = 6866546688.

The previous prime is 20113883437. The next prime is 20113883441. The reversal of 20113883440 is 4438831102.

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

It is a junction number, because it is equal to n+sod(n) for n = 20113883396 and 20113883405.

It is not an unprimeable number, because it can be changed into a prime (20113883441) 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, 53404 + ... + 207556.

Almost surely, 220113883440 is an apocalyptic number.

20113883440 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 20113883440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26837594784).

20113883440 is an abundant number, since it is smaller than the sum of its proper divisors (33561306128).

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

20113883440 is a wasteful number, since it uses less digits than its factorization.

20113883440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154406 (or 154400 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 20113883440 in words is "twenty billion, one hundred thirteen million, eight hundred eighty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 233 280 466 560 932 1165 1631 1864 2330 3262 3728 4660 6524 8155 9320 13048 16310 18640 26096 32620 65240 130480 154153 308306 616612 770765 1079071 1233224 1541530 2158142 2466448 3083060 4316284 5395355 6166120 8632568 10790710 12332240 17265136 21581420 35917649 43162840 71835298 86325680 143670596 179588245 251423543 287341192 359176490 502847086 574682384 718352980 1005694172 1257117715 1436705960 2011388344 2514235430 2873411920 4022776688 5028470860 10056941720 20113883440