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12473942800 = 2452116434409
BaseRepresentation
bin10111001111000000…
…10100001100010000
31012012022220221122111
423213200110030100
5201021312132200
65421435515104
7621054523114
oct134740241420
935168827574
1012473942800
115321240940
1225015b8a94
13123a3c5457
1486494d744
154d018d0ba
hex2e7814310

12473942800 has 120 divisors (see below), whose sum is σ = 32751341280. Its totient is φ = 4527897600.

The previous prime is 12473942777. The next prime is 12473942807. The reversal of 12473942800 is 824937421.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (12473942807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2826996 + ... + 2831404.

It is an arithmetic number, because the mean of its divisors is an integer number (272927844).

Almost surely, 212473942800 is an apocalyptic number.

12473942800 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 12473942800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16375670640).

12473942800 is an abundant number, since it is smaller than the sum of its proper divisors (20277398480).

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

12473942800 is a wasteful number, since it uses less digits than its factorization.

12473942800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5081 (or 5070 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 12473942800 in words is "twelve billion, four hundred seventy-three million, nine hundred forty-two thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 643 880 1100 1286 2200 2572 3215 4400 4409 5144 6430 7073 8818 10288 12860 14146 16075 17636 22045 25720 28292 32150 35272 35365 44090 48499 51440 56584 64300 70544 70730 88180 96998 110225 113168 128600 141460 176360 176825 193996 220450 242495 257200 282920 352720 353650 387992 440900 484990 565840 707300 775984 881800 969980 1212475 1414600 1763600 1939960 2424950 2829200 2834987 3879920 4849900 5669974 9699800 11339948 14174935 19399600 22679896 28349870 31184857 45359792 56699740 62369714 70874675 113399480 124739428 141749350 155924285 226798960 249478856 283498700 311848570 498957712 566997400 623697140 779621425 1133994800 1247394280 1559242850 2494788560 3118485700 6236971400 12473942800