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25061961408 = 26311217233189
BaseRepresentation
bin10111010101110011…
…110010111011000000
32101200121111112212220
4113111303302323000
5402311330231113
615302512451040
71545026104611
oct272563627300
971617445786
1025061961408
11a6a0907600
124a35249a80
13249531c183
1412da6b5c08
159ba361523
hex5d5cf2ec0

25061961408 has 672 divisors, whose sum is σ = 84060426240. Its totient is φ = 6542131200.

The previous prime is 25061961401. The next prime is 25061961409. The reversal of 25061961408 is 80416916052.

It is a self number, because there is not a number n which added to its sum of digits gives 25061961408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25061961401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 281595028 + ... + 281595116.

It is an arithmetic number, because the mean of its divisors is an integer number (125089920).

Almost surely, 225061961408 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 25061961408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42030213120).

25061961408 is an abundant number, since it is smaller than the sum of its proper divisors (58998464832).

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

25061961408 is a wasteful number, since it uses less digits than its factorization.

25061961408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 25061961408 in words is "twenty-five billion, sixty-one million, nine hundred sixty-one thousand, four hundred eight".