Search a number
-
+
25297920000 = 213345461
BaseRepresentation
bin10111100011110111…
…111010000000000000
32102022001111111020000
4113203313322000000
5403302231420000
615342142120000
71553622525543
oct274367720000
972261444200
1025297920000
11a80201a801
124aa0280000
132502186642
14131db7885a
159d0e20000
hex5e3dfa000

25297920000 has 700 divisors, whose sum is σ = 95989012746. Its totient is φ = 6635520000.

The previous prime is 25297919993. The next prime is 25297920023. The reversal of 25297920000 is 2979252.

It can be written as a sum of positive squares in 5 ways, for example, as 931958784 + 24365961216 = 30528^2 + 156096^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 414719970 + ... + 414720030.

Almost surely, 225297920000 is an apocalyptic number.

25297920000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25297920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47994506373).

25297920000 is an abundant number, since it is smaller than the sum of its proper divisors (70691092746).

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

25297920000 is an frugal number, since it uses more digits than its factorization.

25297920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 25297920000 in words is "twenty-five billion, two hundred ninety-seven million, nine hundred twenty thousand".