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5340232255680 = 263457672711621
BaseRepresentation
bin100110110110101111010…
…1001011000100011000000
3200220112001222010111120000
41031231132221120203000
51144443243424140210
615205134022320000
71060550635134540
oct115553651304300
920815058114500
105340232255680
111779863985a43
12722b80b89000
132c977411430a
1414667bc73320
1593da1e93ac0
hex4db5ea588c0

5340232255680 has 1120 divisors, whose sum is σ = 22128857659392. Its totient is φ = 1197230284800.

The previous prime is 5340232255663. The next prime is 5340232255739. The reversal of 5340232255680 is 865522320435.

5340232255680 is a `hidden beast` number, since 5 + 3 + 40 + 23 + 2 + 25 + 568 + 0 = 666.

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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3294405270 + ... + 3294406890.

Almost surely, 25340232255680 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 5340232255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11064428829696).

5340232255680 is an abundant number, since it is smaller than the sum of its proper divisors (16788625403712).

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

5340232255680 is a wasteful number, since it uses less digits than its factorization.

5340232255680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 5340232255680 in words is "five trillion, three hundred forty billion, two hundred thirty-two million, two hundred fifty-five thousand, six hundred eighty".