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12415223808 = 211351319101
BaseRepresentation
bin10111001000000000…
…10100100000000000
31012001020102201100000
423210000110200000
5200411244130213
65411541200000
7616442442531
oct134400244000
935036381300
1012415223808
1152a1085449
1224a5a00000
13122b1a65a0
1485ac26688
154c9e3ec73
hex2e4014800

12415223808 has 576 divisors, whose sum is σ = 42570964800. Its totient is φ = 3583180800.

The previous prime is 12415223783. The next prime is 12415223809. The reversal of 12415223808 is 80832251421.

It is a happy number.

12415223808 is a `hidden beast` number, since 1 + 2 + 415 + 2 + 238 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (12415223809) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122922958 + ... + 122923058.

It is an arithmetic number, because the mean of its divisors is an integer number (73907925).

Almost surely, 212415223808 is an apocalyptic number.

12415223808 is a gapful number since it is divisible by the number (18) 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 12415223808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21285482400).

12415223808 is an abundant number, since it is smaller than the sum of its proper divisors (30155740992).

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

12415223808 is a wasteful number, since it uses less digits than its factorization.

12415223808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 12415223808 in words is "twelve billion, four hundred fifteen million, two hundred twenty-three thousand, eight hundred eight".