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12418314480 = 2432511131031171
BaseRepresentation
bin10111001000011000…
…00111000011110000
31012001110020201221100
423210030013003300
5200413042030410
65412131324400
7616510634325
oct134414070360
935043221840
1012418314480
1152a28a6520
1224a6a50700
13122ba192a0
1485b3ccb4c
154ca3508c0
hex2e43070f0

12418314480 has 480 divisors, whose sum is σ = 49513830912. Its totient is φ = 2749593600.

The previous prime is 12418314463. The next prime is 12418314497. The reversal of 12418314480 is 8441381421.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12418314463) and next prime (12418314497).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10604295 + ... + 10605465.

Almost surely, 212418314480 is an apocalyptic number.

12418314480 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 12418314480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24756915456).

12418314480 is an abundant number, since it is smaller than the sum of its proper divisors (37095516432).

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

12418314480 is a wasteful number, since it uses less digits than its factorization.

12418314480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 12418314480 in words is "twelve billion, four hundred eighteen million, three hundred fourteen thousand, four hundred eighty".