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12403674164 = 227171953113229
BaseRepresentation
bin10111000110101000…
…10000110000110100
31012000102200221012102
423203110100300310
5200400320033124
65410445441232
7616242330230
oct134324206064
935012627172
1012403674164
115295606a92
1224a1b70218
13122899158b
1485949b5c0
154c8e0caae
hex2e3510c34

12403674164 has 192 divisors, whose sum is σ = 28544140800. Its totient is φ = 4589125632.

The previous prime is 12403674133. The next prime is 12403674203. The reversal of 12403674164 is 46147630421.

It is a super-2 number, since 2×124036741642 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54164402 + ... + 54164630.

It is an arithmetic number, because the mean of its divisors is an integer number (148667400).

Almost surely, 212403674164 is an apocalyptic number.

12403674164 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 12403674164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14272070400).

12403674164 is an abundant number, since it is smaller than the sum of its proper divisors (16140466636).

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

12403674164 is a wasteful number, since it uses less digits than its factorization.

12403674164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The spelling of 12403674164 in words is "twelve billion, four hundred three million, six hundred seventy-four thousand, one hundred sixty-four".