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12485058816 = 283109149143
BaseRepresentation
bin10111010000010101…
…01110000100000000
31012020002211200221210
423220022232010000
5201032133340231
65422514050120
7621251151246
oct135012560400
935202750853
1012485058816
11532754352a
122505279940
13123c7b7c89
14866204796
154d1136a46
hex2e82ae100

12485058816 has 72 divisors (see below), whose sum is σ = 33533536960. Its totient is φ = 4123478016.

The previous prime is 12485058767. The next prime is 12485058847. The reversal of 12485058816 is 61885058421.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9141 + ... + 158283.

Almost surely, 212485058816 is an apocalyptic number.

12485058816 is a gapful number since it is divisible by the number (16) 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 12485058816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16766768480).

12485058816 is an abundant number, since it is smaller than the sum of its proper divisors (21048478144).

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

12485058816 is a wasteful number, since it uses less digits than its factorization.

12485058816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149271 (or 149257 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 48.

The spelling of 12485058816 in words is "twelve billion, four hundred eighty-five million, fifty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 128 192 218 256 327 384 436 654 768 872 1308 1744 2616 3488 5232 6976 10464 13952 20928 27904 41856 83712 149143 298286 447429 596572 894858 1193144 1789716 2386288 3579432 4772576 7158864 9545152 14317728 16256587 19090304 28635456 32513174 38180608 48769761 57270912 65026348 97539522 114541824 130052696 195079044 260105392 390158088 520210784 780316176 1040421568 1560632352 2080843136 3121264704 4161686272 6242529408 12485058816