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12301911552 = 293717237107
BaseRepresentation
bin10110111010100000…
…00100011000000000
31011202100012212010210
423131100010120000
5200143242132202
65352412354120
7613565344230
oct133520043000
934670185123
1012301911552
115243121257
122473a75940
131210881708
14849b6bcc0
154c000ac6c
hex2dd404600

12301911552 has 480 divisors, whose sum is σ = 41245003008. Its totient is φ = 3188588544.

The previous prime is 12301911533. The next prime is 12301911619. The reversal of 12301911552 is 25511910321.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 114971083 + ... + 114971189.

Almost surely, 212301911552 is an apocalyptic number.

12301911552 is a gapful number since it is divisible by the number (12) 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 12301911552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20622501504).

12301911552 is an abundant number, since it is smaller than the sum of its proper divisors (28943091456).

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

12301911552 is a wasteful number, since it uses less digits than its factorization.

12301911552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 30.

The spelling of 12301911552 in words is "twelve billion, three hundred one million, nine hundred eleven thousand, five hundred fifty-two".