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345545583523840 = 21157217243151367
BaseRepresentation
bin100111010010001011001100…
…1110000100111100000000000
31200022110211112211122101010001
41032210112121300213200000
5330242404323340230330
63222525241041245344
7132532562453661400
oct11644263160474000
91608424484571101
10345545583523840
11a01130715a96a7
1232909070933854
1311aa6a6896cacb
1461486d1844800
1529e36786849ca
hex13a4599c27800

345545583523840 has 1728 divisors, whose sum is σ = 1058187119109120. Its totient is φ = 107894616883200.

The previous prime is 345545583523759. The next prime is 345545583523841. The reversal of 345545583523840 is 48325385545543.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345545583523841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 941541099337 + ... + 941541099703.

It is an arithmetic number, because the mean of its divisors is an integer number (612376805040).

Almost surely, 2345545583523840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345545583523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529093559554560).

345545583523840 is an abundant number, since it is smaller than the sum of its proper divisors (712641535585280).

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

345545583523840 is a wasteful number, since it uses less digits than its factorization.

345545583523840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 691200000, while the sum is 64.

The spelling of 345545583523840 in words is "three hundred forty-five trillion, five hundred forty-five billion, five hundred eighty-three million, five hundred twenty-three thousand, eight hundred forty".