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18296245440 = 263351133743
BaseRepresentation
bin10001000010100010…
…101000110011000000
31202020002121120101000
4101002202220303000
5244432314323230
612223304012000
71215253343304
oct210242506300
952202546330
1018296245440
117839832000
123667461000
131957715445
14c57d03d04
157213c4b60
hex4428a8cc0

18296245440 has 896 divisors, whose sum is σ = 74609187840. Its totient is φ = 4215214080.

The previous prime is 18296245433. The next prime is 18296245441. The reversal of 18296245440 is 4454269281.

It is a happy number.

18296245440 is a `hidden beast` number, since 1 + 82 + 9 + 6 + 24 + 544 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (18296245441) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 425494059 + ... + 425494101.

Almost surely, 218296245440 is an apocalyptic number.

18296245440 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 18296245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37304593920).

18296245440 is an abundant number, since it is smaller than the sum of its proper divisors (56312942400).

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

18296245440 is a wasteful number, since it uses less digits than its factorization.

18296245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 18296245440 in words is "eighteen billion, two hundred ninety-six million, two hundred forty-five thousand, four hundred forty".