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25130023344 = 24322576191097
BaseRepresentation
bin10111011001110111…
…011011100110110000
32101212100120110022100
4113121313123212300
5402431241221334
615313343340400
71546513450116
oct273167334660
971770513270
1025130023344
11a726274538
124a53bb1700
1324a645c7ca
141305751ab6
159c1307c99
hex5d9ddb9b0

25130023344 has 120 divisors (see below), whose sum is σ = 70781340240. Its totient is φ = 8323006464.

The previous prime is 25130023337. The next prime is 25130023381. The reversal of 25130023344 is 44332003152.

25130023344 is a `hidden beast` number, since 25 + 1 + 300 + 2 + 334 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22907404 + ... + 22908500.

It is an arithmetic number, because the mean of its divisors is an integer number (589844502).

Almost surely, 225130023344 is an apocalyptic number.

25130023344 is a gapful number since it is divisible by the number (24) 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 25130023344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35390670120).

25130023344 is an abundant number, since it is smaller than the sum of its proper divisors (45651316896).

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

25130023344 is a wasteful number, since it uses less digits than its factorization.

25130023344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 25130023344 its reverse (44332003152), we get a palindrome (69462026496).

The spelling of 25130023344 in words is "twenty-five billion, one hundred thirty million, twenty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 257 514 619 771 1028 1097 1238 1542 1857 2056 2194 2313 2476 3084 3291 3714 4112 4388 4626 4952 5571 6168 6582 7428 8776 9252 9873 9904 11142 12336 13164 14856 17552 18504 19746 22284 26328 29712 37008 39492 44568 52656 78984 89136 157968 159083 281929 318166 477249 563858 636332 679043 845787 954498 1127716 1272664 1358086 1431747 1691574 1908996 2037129 2255432 2537361 2545328 2716172 2863494 3383148 3817992 4074258 4510864 5074722 5432344 5726988 6111387 6766296 7635984 8148516 10149444 10864688 11453976 12222774 13532592 16297032 20298888 22907952 24445548 32594064 40597776 48891096 97782192 174514051 349028102 523542153 698056204 1047084306 1396112408 1570626459 2094168612 2792224816 3141252918 4188337224 6282505836 8376674448 12565011672 25130023344