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12410988480 = 2634511192979
BaseRepresentation
bin10111000111100000…
…01010011111000000
31012000221110112120000
423203300022133000
5200404203112410
65411310320000
7616361442612
oct134360123700
935027415500
1012410988480
115299752380
1224a44b9000
13122a352887
1485a442db2
154c98a4dc0
hex2e3c0a7c0

12410988480 has 1120 divisors, whose sum is σ = 53108352000. Its totient is φ = 2717245440.

The previous prime is 12410988467. The next prime is 12410988487. The reversal of 12410988480 is 8488901421.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12410988487) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 157101081 + ... + 157101159.

Almost surely, 212410988480 is an apocalyptic number.

12410988480 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 12410988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26554176000).

12410988480 is an abundant number, since it is smaller than the sum of its proper divisors (40697363520).

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

12410988480 is a wasteful number, since it uses less digits than its factorization.

12410988480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 12410988480 in words is "twelve billion, four hundred ten million, nine hundred eighty-eight thousand, four hundred eighty".