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2114452758432 = 253752122732657
BaseRepresentation
bin11110110001001111001…
…101001001111110100000
321111010202211220101121010
4132301033031021332200
5234120344401232212
64255211032500520
7305523052620360
oct36611715117640
97433684811533
102114452758432
11745809505243
122a1965b4a740
13124513407081
14744a91a29a0
153a005e8103c
hex1ec4f349fa0

2114452758432 has 192 divisors, whose sum is σ = 6360722774784. Its totient is φ = 602477690880.

The previous prime is 2114452758403. The next prime is 2114452758433. The reversal of 2114452758432 is 2348572544112.

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

It is not an unprimeable number, because it can be changed into a prime (2114452758433) 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, 795803248 + ... + 795805904.

It is an arithmetic number, because the mean of its divisors is an integer number (33128764452).

Almost surely, 22114452758432 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 2114452758432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3180361387392).

2114452758432 is an abundant number, since it is smaller than the sum of its proper divisors (4246270016352).

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

2114452758432 is a wasteful number, since it uses less digits than its factorization.

2114452758432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5471 (or 5463 counting only the distinct ones).

The product of its digits is 2150400, while the sum is 48.

The spelling of 2114452758432 in words is "two trillion, one hundred fourteen billion, four hundred fifty-two million, seven hundred fifty-eight thousand, four hundred thirty-two".