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5312492552640 = 263574131710429
BaseRepresentation
bin100110101001110100100…
…1110110100000111000000
3200210212110201222120201010
41031103221032310013000
51144014441043141030
615144305252240520
71055546342430000
oct115235116640700
920725421876633
105312492552640
111769019605529
1271971b010140
132c6c73102a50
141451a9ac0000
15932cb9e76b0
hex4d4e93b41c0

5312492552640 has 1120 divisors, whose sum is σ = 22439486825280. Its totient is φ = 1054842421248.

The previous prime is 5312492552611. The next prime is 5312492552651. The reversal of 5312492552640 is 462552942135.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5312492552640.

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 509390946 + ... + 509401374.

It is an arithmetic number, because the mean of its divisors is an integer number (20035256094).

Almost surely, 25312492552640 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 5312492552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11219743412640).

5312492552640 is an abundant number, since it is smaller than the sum of its proper divisors (17126994272640).

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

5312492552640 is a wasteful number, since it uses less digits than its factorization.

5312492552640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10507 (or 10476 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 5312492552640 in words is "five trillion, three hundred twelve billion, four hundred ninety-two million, five hundred fifty-two thousand, six hundred forty".