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25422005952 = 2633721132657
BaseRepresentation
bin10111101011010001…
…010000011011000000
32102121200222201011000
4113223101100123000
5404031013142302
615402333452000
71556660325300
oct275321203300
972550881130
1025422005952
11a866072382
124b15941000
132521ab1295
141332439600
159dbc8131c
hex5eb4506c0

25422005952 has 336 divisors, whose sum is σ = 87740154720. Its totient is φ = 7196442624.

The previous prime is 25422005923. The next prime is 25422005953. The reversal of 25422005952 is 25950022452.

It is a happy number.

25422005952 is a `hidden beast` number, since 2 + 5 + 42 + 20 + 0 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 (25422005953) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9566608 + ... + 9569264.

Almost surely, 225422005952 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 25422005952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43870077360).

25422005952 is an abundant number, since it is smaller than the sum of its proper divisors (62318148768).

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

25422005952 is a wasteful number, since it uses less digits than its factorization.

25422005952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2805 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 25422005952 in words is "twenty-five billion, four hundred twenty-two million, five thousand, nine hundred fifty-two".