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12859753440 = 253526791153
BaseRepresentation
bin10111111101000000…
…00100001111100000
31020012012220011100110
423332200010033200
5202314044102230
65524021051320
7633451046352
oct137640041740
936165804313
1012859753440
1154a9aa5106
1225aa856b40
13129c309381
1489dc9d0d2
15503e9c4b0
hex2fe8043e0

12859753440 has 48 divisors (see below), whose sum is σ = 40508224848. Its totient is φ = 3429267456.

The previous prime is 12859753433. The next prime is 12859753441. The reversal of 12859753440 is 4435795821.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12859753440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12859753441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13395097 + ... + 13396056.

It is an arithmetic number, because the mean of its divisors is an integer number (843921351).

Almost surely, 212859753440 is an apocalyptic number.

12859753440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12859753440 is an abundant number, since it is smaller than the sum of its proper divisors (27648471408).

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

12859753440 is a wasteful number, since it uses less digits than its factorization.

12859753440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26791171 (or 26791163 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 12859753440 in words is "twelve billion, eight hundred fifty-nine million, seven hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 26791153 53582306 80373459 107164612 133955765 160746918 214329224 267911530 321493836 401867295 428658448 535823060 642987672 803734590 857316896 1071646120 1285975344 1607469180 2143292240 2571950688 3214938360 4286584480 6429876720 12859753440