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23826728744 = 23713232949069
BaseRepresentation
bin10110001100001011…
…110000011100101000
32021111112012020012222
4112030023300130220
5342244120304434
614540145253212
71502306565320
oct261413603450
967445166188
1023826728744
11a117626a65
12474b634208
132329440080
141220614280
15946bb672e
hex58c2f0728

23826728744 has 128 divisors (see below), whose sum is σ = 59355072000. Its totient is φ = 8705055744.

The previous prime is 23826728741. The next prime is 23826728747. The reversal of 23826728744 is 44782762832.

It is an interprime number because it is at equal distance from previous prime (23826728741) and next prime (23826728747).

It is not an unprimeable number, because it can be changed into a prime (23826728741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461042 + ... + 510110.

It is an arithmetic number, because the mean of its divisors is an integer number (463711500).

Almost surely, 223826728744 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 23826728744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29677536000).

23826728744 is an abundant number, since it is smaller than the sum of its proper divisors (35528343256).

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

23826728744 is a wasteful number, since it uses less digits than its factorization.

23826728744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49147 (or 49143 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 53.

The spelling of 23826728744 in words is "twenty-three billion, eight hundred twenty-six million, seven hundred twenty-eight thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 13 14 23 26 28 29 46 52 56 58 91 92 104 116 161 182 184 203 232 299 322 364 377 406 598 644 667 728 754 812 1196 1288 1334 1508 1624 2093 2392 2639 2668 3016 4186 4669 5278 5336 8372 8671 9338 10556 16744 17342 18676 21112 34684 37352 49069 60697 69368 98138 121394 196276 242788 343483 392552 485576 637897 686966 1128587 1275794 1373932 1423001 2257174 2551588 2747864 2846002 4465279 4514348 5103176 5692004 7900109 8930558 9028696 9961007 11384008 14671631 15800218 17861116 18499013 19922014 29343262 31600436 32729023 35722232 36998026 39844028 58686524 63200872 65458046 73996052 79688056 102701417 117373048 129493091 130916092 147992104 205402834 229103161 258986182 261832184 410805668 425477299 458206322 517972364 821611336 850954598 916412644 1035944728 1701909196 1832825288 2978341093 3403818392 5956682186 11913364372 23826728744