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20372304144 = 24317142917471
BaseRepresentation
bin10010111110010010…
…001011000100010000
31221120210002021112010
4102332102023010100
5313210302213034
613205305102520
71320562504503
oct227622130420
957523067463
1020372304144
1187046a86a5
123b46787a40
131bc886cc4a
14db391b13a
157e37ad3e9
hex4be48b110

20372304144 has 80 divisors (see below), whose sum is σ = 55766430720. Its totient is φ = 6386472960.

The previous prime is 20372304097. The next prime is 20372304149. The reversal of 20372304144 is 44140327302.

It is a super-2 number, since 2×203723041442 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20372304149) 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, 1157329 + ... + 1174799.

It is an arithmetic number, because the mean of its divisors is an integer number (697080384).

Almost surely, 220372304144 is an apocalyptic number.

20372304144 is a gapful number since it is divisible by the number (24) 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 20372304144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27883215360).

20372304144 is an abundant number, since it is smaller than the sum of its proper divisors (35394126576).

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

20372304144 is a wasteful number, since it uses less digits than its factorization.

20372304144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18928 (or 18922 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The spelling of 20372304144 in words is "twenty billion, three hundred seventy-two million, three hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 1429 2858 4287 5716 8574 11432 17148 17471 22864 24293 34296 34942 48586 52413 68592 69884 72879 97172 104826 139768 145758 194344 209652 279536 291516 297007 388688 419304 583032 594014 838608 891021 1166064 1188028 1782042 2376056 3564084 4752112 7128168 14256336 24966059 49932118 74898177 99864236 149796354 199728472 299592708 399456944 424423003 599185416 848846006 1198370832 1273269009 1697692012 2546538018 3395384024 5093076036 6790768048 10186152072 20372304144