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12499791400 = 235237271643
BaseRepresentation
bin10111010010000101…
…11010111000101000
31012021010120012021001
423221002322320220
5201044421311100
65424201524344
7621520321345
oct135102727050
935233505231
1012499791400
115334896318
12250a1a36b4
131242875995
1486815b7cc
154d2596d6a
hex2e90bae28

12499791400 has 144 divisors (see below), whose sum is σ = 30336495840. Its totient is φ = 4788806400.

The previous prime is 12499791377. The next prime is 12499791407. The reversal of 12499791400 is 419799421.

It is not an unprimeable number, because it can be changed into a prime (12499791407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19439479 + ... + 19440121.

It is an arithmetic number, because the mean of its divisors is an integer number (210670110).

Almost surely, 212499791400 is an apocalyptic number.

12499791400 is a gapful number since it is divisible by the number (10) 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 12499791400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15168247920).

12499791400 is an abundant number, since it is smaller than the sum of its proper divisors (17836704440).

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

12499791400 is a wasteful number, since it uses less digits than its factorization.

12499791400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 46.

The spelling of 12499791400 in words is "twelve billion, four hundred ninety-nine million, seven hundred ninety-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 71 74 100 142 148 185 200 284 296 355 370 568 643 710 740 925 1286 1369 1420 1480 1775 1850 2572 2627 2738 2840 3215 3550 3700 5144 5254 5476 6430 6845 7100 7400 10508 10952 12860 13135 13690 14200 16075 21016 23791 25720 26270 27380 32150 34225 45653 47582 52540 54760 64300 65675 68450 91306 95164 97199 105080 118955 128600 131350 136900 182612 190328 194398 228265 237910 262700 273800 365224 388796 456530 475820 485995 525400 594775 777592 880267 913060 951640 971990 1141325 1189550 1689161 1760534 1826120 1943980 2282650 2379100 2429975 3378322 3521068 3887960 4401335 4565300 4758200 4859950 6756644 7042136 8445805 8802670 9130600 9719900 13513288 16891610 17605340 19439800 22006675 33783220 35210680 42229025 44013350 62498957 67566440 84458050 88026700 124997914 168916100 176053400 249995828 312494785 337832200 499991656 624989570 1249979140 1562473925 2499958280 3124947850 6249895700 12499791400