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12358603840 = 2651131373061
BaseRepresentation
bin10111000001010000…
…10101010001000000
31011220021220010100011
423200220111101000
5200302300310330
65402155434304
7615154253662
oct134050252100
934807803304
1012358603840
115272122a90
12248aa55994
13121c540c4b
148534c8532
154c4ea882a
hex2e0a15440

12358603840 has 224 divisors, whose sum is σ = 34046696448. Its totient is φ = 4230144000.

The previous prime is 12358603793. The next prime is 12358603879. The reversal of 12358603840 is 4830685321.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 12358603793 and 12358603802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4035910 + ... + 4038970.

Almost surely, 212358603840 is an apocalyptic number.

12358603840 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 12358603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17023348224).

12358603840 is an abundant number, since it is smaller than the sum of its proper divisors (21688092608).

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

12358603840 is a wasteful number, since it uses less digits than its factorization.

12358603840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3157 (or 3147 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 12358603840 in words is "twelve billion, three hundred fifty-eight million, six hundred three thousand, eight hundred forty".