Search a number
-
+
2157593144784 = 243711319318191
BaseRepresentation
bin11111011001011010100…
…100101010110111010000
321122021010101011002022020
4133121122210222313100
5240322222321113114
64331103513011440
7311611112063460
oct37313244526720
97567111132266
102157593144784
1176203709a000
122aa1a56b3b80
131285c9c84cbc
14765dc87bba0
153b1cd4dcaa9
hex1f65a92add0

2157593144784 has 640 divisors, whose sum is σ = 7614171709440. Its totient is φ = 513729216000.

The previous prime is 2157593144783. The next prime is 2157593144813. The reversal of 2157593144784 is 4874413957512.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2157593144783) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 263406129 + ... + 263414319.

It is an arithmetic number, because the mean of its divisors is an integer number (11897143296).

Almost surely, 22157593144784 is an apocalyptic number.

2157593144784 is a gapful number since it is divisible by the number (24) 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 2157593144784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3807085854720).

2157593144784 is an abundant number, since it is smaller than the sum of its proper divisors (5456578564656).

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

2157593144784 is a wasteful number, since it uses less digits than its factorization.

2157593144784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8292 (or 8264 counting only the distinct ones).

The product of its digits is 33868800, while the sum is 60.

The spelling of 2157593144784 in words is "two trillion, one hundred fifty-seven billion, five hundred ninety-three million, one hundred forty-four thousand, seven hundred eighty-four".