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2158313472 = 2143371741
BaseRepresentation
bin1000000010100101…
…0100000000000000
312120102020200111000
42000221110000000
513410012012342
6554100052000
7104325235050
oct20051240000
95512220430
102158313472
11a08347947
12502994000
132851c7283
14166909560
15c973544c
hex80a54000

2158313472 has 480 divisors, whose sum is σ = 7926992640. Its totient is φ = 566231040.

The previous prime is 2158313453. The next prime is 2158313473. The reversal of 2158313472 is 2743138512.

2158313472 is a `hidden beast` number, since 2 + 1 + 583 + 1 + 3 + 4 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (40320) is a multiple of the sum of its prime divisors (70).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2158313473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52641772 + ... + 52641812.

It is an arithmetic number, because the mean of its divisors is an integer number (16514568).

Almost surely, 22158313472 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 2158313472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3963496320).

2158313472 is an abundant number, since it is smaller than the sum of its proper divisors (5768679168).

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

2158313472 is an equidigital number, since it uses as much as digits as its factorization.

2158313472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 70 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2158313472 is about 46457.6524589868. The cubic root of 2158313472 is about 1292.3242898967.

The spelling of 2158313472 in words is "two billion, one hundred fifty-eight million, three hundred thirteen thousand, four hundred seventy-two".