Search a number
-
+
25116045504 = 2631121081097
BaseRepresentation
bin10111011001000010…
…000111000011000000
32101211101021022022120
4113121002013003000
5402414201424004
615312124004240
71546253602314
oct273102070300
971741238276
1025116045504
11a719397800
124a4b390680
1324a35a74b4
141303953b44
159bee963d9
hex5d90870c0

25116045504 has 84 divisors (see below), whose sum is σ = 73043305272. Its totient is φ = 7610915840.

The previous prime is 25116045491. The next prime is 25116045529. The reversal of 25116045504 is 40554061152.

It is a super-2 number, since 2×251160455042 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 517317 + ... + 563780.

It is an arithmetic number, because the mean of its divisors is an integer number (869563158).

Almost surely, 225116045504 is an apocalyptic number.

25116045504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

25116045504 is an abundant number, since it is smaller than the sum of its proper divisors (47927259768).

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

25116045504 is a wasteful number, since it uses less digits than its factorization.

25116045504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081134 (or 1081113 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 25116045504 in words is "twenty-five billion, one hundred sixteen million, forty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 132 176 192 242 264 352 363 484 528 704 726 968 1056 1452 1936 2112 2904 3872 5808 7744 11616 23232 1081097 2162194 3243291 4324388 6486582 8648776 11892067 12973164 17297552 23784134 25946328 34595104 35676201 47568268 51892656 69190208 71352402 95136536 103785312 130812737 142704804 190273072 207570624 261625474 285409608 380546144 392438211 523250948 570819216 761092288 784876422 1046501896 1141638432 1569752844 2093003792 2283276864 3139505688 4186007584 6279011376 8372015168 12558022752 25116045504