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12403332480 = 2735711229263
BaseRepresentation
bin10111000110100101…
…11101010110000000
31012000102001120111110
423203102331112000
5200400223114410
65410434243320
7616236405120
oct134322752600
935012046443
1012403332480
1152953a3300
1224a1a26540
1312288a1bb6
1485940cc80
154c8d91720
hex2e34bd580

12403332480 has 768 divisors, whose sum is σ = 51572505600. Its totient is φ = 2478981120.

The previous prime is 12403332467. The next prime is 12403332497. The reversal of 12403332480 is 8423330421.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 47160829 + ... + 47161091.

It is an arithmetic number, because the mean of its divisors is an integer number (67151700).

Almost surely, 212403332480 is an apocalyptic number.

12403332480 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 12403332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25786252800).

12403332480 is an abundant number, since it is smaller than the sum of its proper divisors (39169173120).

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

12403332480 is a wasteful number, since it uses less digits than its factorization.

12403332480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 12403332480 in words is "twelve billion, four hundred three million, three hundred thirty-two thousand, four hundred eighty".