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25070288896 = 21412372
BaseRepresentation
bin10111010110010011…
…100100000000000000
32101201012011122001101
4113112103210000000
5402320443221041
615303411144144
71545156640162
oct272623440000
971635148041
1025070288896
11a6a5585124
124a37ba5054
132496c76693
1412db842932
159bae58b31
hex5d64e4000

25070288896 has 45 divisors (see below), whose sum is σ = 50179613169. Its totient is φ = 12525010944.

The previous prime is 25070288869. The next prime is 25070288897. The reversal of 25070288896 is 69888207052.

It is a happy number.

The square root of 25070288896 is 158336.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 18933760000 + 6136528896 = 137600^2 + 78336^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25070288897) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 20266390 + ... + 20267626.

Almost surely, 225070288896 is an apocalyptic number.

25070288896 is the 158336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25070288896

25070288896 is an abundant number, since it is smaller than the sum of its proper divisors (25109324273).

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

25070288896 is an frugal number, since it uses more digits than its factorization.

25070288896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 55.

The spelling of 25070288896 in words is "twenty-five billion, seventy million, two hundred eighty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1237 2048 2474 4096 4948 8192 9896 16384 19792 39584 79168 158336 316672 633344 1266688 1530169 2533376 3060338 5066752 6120676 10133504 12241352 20267008 24482704 48965408 97930816 195861632 391723264 783446528 1566893056 3133786112 6267572224 12535144448 25070288896