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2453435064 = 2332301111317
BaseRepresentation
bin1001001000111100…
…0111001010111000
320022222120102012100
42102033013022320
520011034410224
61043241343400
7114540565623
oct22217071270
96288512170
102453435064
11104999a093
12585797b60
133013a7732
14193bacdba
15e55cdac9
hex923c72b8

2453435064 has 48 divisors (see below), whose sum is σ = 6647514120. Its totient is φ = 817467840.

The previous prime is 2453435063. The next prime is 2453435081. The reversal of 2453435064 is 4605343542.

2453435064 is a `hidden beast` number, since 245 + 3 + 4 + 350 + 64 = 666.

It is a super-2 number, since 2×24534350642 = 12038687226529368192, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2453435063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211134 + ... + 222450.

Almost surely, 22453435064 is an apocalyptic number.

2453435064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2453435064 is an abundant number, since it is smaller than the sum of its proper divisors (4194079056).

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

2453435064 is a wasteful number, since it uses less digits than its factorization.

2453435064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14340 (or 14333 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The square root of 2453435064 is about 49532.1619152647. The cubic root of 2453435064 is about 1348.7294976932.

The spelling of 2453435064 in words is "two billion, four hundred fifty-three million, four hundred thirty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3011 6022 9033 11317 12044 18066 22634 24088 27099 33951 36132 45268 54198 67902 72264 90536 101853 108396 135804 203706 216792 271608 407412 814824 34075487 68150974 102226461 136301948 204452922 272603896 306679383 408905844 613358766 817811688 1226717532 2453435064