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12874904224 = 257138353269
BaseRepresentation
bin10111111110110011…
…10111001010100000
31020020021101220022121
423333121313022200
5202331433413344
65525321514024
7634023610630
oct137731671240
936207356277
1012874904224
115507603116
1225b3942914
1312a24b2530
148a1cc46c0
15505491684
hex2ff6772a0

12874904224 has 96 divisors (see below), whose sum is σ = 31573342080. Its totient is φ = 5031908352.

The previous prime is 12874904201. The next prime is 12874904227. The reversal of 12874904224 is 42240947821.

It is not an unprimeable number, because it can be changed into a prime (12874904227) 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, 215062 + ... + 268330.

It is an arithmetic number, because the mean of its divisors is an integer number (328888980).

Almost surely, 212874904224 is an apocalyptic number.

12874904224 is a gapful number since it is divisible by the number (14) 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 12874904224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15786671040).

12874904224 is an abundant number, since it is smaller than the sum of its proper divisors (18698437856).

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

12874904224 is a wasteful number, since it uses less digits than its factorization.

12874904224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53382 (or 53374 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The spelling of 12874904224 in words is "twelve billion, eight hundred seventy-four million, nine hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 83 91 104 112 166 182 208 224 332 364 416 581 664 728 1079 1162 1328 1456 2158 2324 2656 2912 4316 4648 7553 8632 9296 15106 17264 18592 30212 34528 53269 60424 106538 120848 213076 241696 372883 426152 692497 745766 852304 1384994 1491532 1704608 2769988 2983064 4421327 4847479 5539976 5966128 8842654 9694958 11079952 11932256 17685308 19389916 22159904 30949289 35370616 38779832 57477251 61898578 70741232 77559664 114954502 123797156 141482464 155119328 229909004 247594312 402340757 459818008 495188624 804681514 919636016 990377248 1609363028 1839272032 3218726056 6437452112 12874904224