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25380433224 = 2332352506017
BaseRepresentation
bin10111101000110010…
…101010110101001000
32102111210202121002100
4113220302222311020
5403434342330344
615354250433400
71555644060066
oct275062526510
972453677070
1025380433224
11a844658153
124b03a32860
1325162b6933
14132aad7036
159d82bd569
hex5e8caad48

25380433224 has 24 divisors (see below), whose sum is σ = 68738673510. Its totient is φ = 8460144384.

The previous prime is 25380433217. The next prime is 25380433229. The reversal of 25380433224 is 42233408352.

25380433224 is a `hidden beast` number, since 25 + 380 + 4 + 33 + 224 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23506409124 + 1874024100 = 153318^2 + 43290^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (25380433229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 176252937 + ... + 176253080.

Almost surely, 225380433224 is an apocalyptic number.

25380433224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

25380433224 is an abundant number, since it is smaller than the sum of its proper divisors (43358240286).

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

25380433224 is a wasteful number, since it uses less digits than its factorization.

25380433224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352506029 (or 352506022 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 25380433224 in words is "twenty-five billion, three hundred eighty million, four hundred thirty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 352506017 705012034 1057518051 1410024068 2115036102 2820048136 3172554153 4230072204 6345108306 8460144408 12690216612 25380433224