Search a number
-
+
25301356096 = 265923372
BaseRepresentation
bin10111100100000101…
…000000111001000000
32102022021222001122211
4113210011000321000
5403304121343341
615342343511504
71553663656402
oct274405007100
972267861584
1025301356096
11a803a57355
124aa1458594
132502aba633
1413203d0b72
159d139d181
hex5e4140e40

25301356096 has 63 divisors (see below), whose sum is σ = 51224775249. Its totient is φ = 12399356928.

The previous prime is 25301356079. The next prime is 25301356111. The reversal of 25301356096 is 69065310352.

It is a happy number.

The square root of 25301356096 is 159064.

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., 6822760000 + 18478596096 = 82600^2 + 135936^2 .

It is a super-2 number, since 2×253013560962 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 75078040 + ... + 75078376.

Almost surely, 225301356096 is an apocalyptic number.

25301356096 is the 159064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25301356096

25301356096 is an abundant number, since it is smaller than the sum of its proper divisors (25923419153).

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

25301356096 is an frugal number, since it uses more digits than its factorization.

25301356096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 40.

The spelling of 25301356096 in words is "twenty-five billion, three hundred one million, three hundred fifty-six thousand, ninety-six".

Divisors: 1 2 4 8 16 32 59 64 118 236 337 472 674 944 1348 1888 2696 3481 3776 5392 6962 10784 13924 19883 21568 27848 39766 55696 79532 111392 113569 159064 222784 227138 318128 454276 636256 908552 1173097 1272512 1817104 2346194 3634208 4692388 6700571 7268416 9384776 13401142 18769552 26802284 37539104 53604568 75078208 107209136 214418272 395333689 428836544 790667378 1581334756 3162669512 6325339024 12650678048 25301356096