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13302051840 = 21032571123163
BaseRepresentation
bin11000110001101110…
…10011010000000000
31021100001011020200200
430120313103100000
5204220311124330
610035541045200
7650431401150
oct143067232000
937301136620
1013302051840
115706730480
1226b29b6800
13133cb3a6bc
14902914760
1552cc18a60
hex318dd3400

13302051840 has 1056 divisors, whose sum is σ = 60330756096. Its totient is φ = 2627665920.

The previous prime is 13302051823. The next prime is 13302051859. The reversal of 13302051840 is 4815020331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81607599 + ... + 81607761.

Almost surely, 213302051840 is an apocalyptic number.

13302051840 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 13302051840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30165378048).

13302051840 is an abundant number, since it is smaller than the sum of its proper divisors (47028704256).

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

13302051840 is a wasteful number, since it uses less digits than its factorization.

13302051840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 13302051840 in words is "thirteen billion, three hundred two million, fifty-one thousand, eight hundred forty".