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25313453040 = 24356110316787
BaseRepresentation
bin10111100100110011…
…001010001111110000
32102100010201122112210
4113210303022033300
5403320220444130
615343455052120
71554201541431
oct274463121760
972303648483
1025313453040
11a80a869a27
124aa5511040
1325054647a5
141321c5d488
159d248c5b0
hex5e4cca3f0

25313453040 has 160 divisors (see below), whose sum is σ = 80537273856. Its totient is φ = 6574740480.

The previous prime is 25313453027. The next prime is 25313453051. The reversal of 25313453040 is 4035431352.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 25313452989 and 25313453007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1499527 + ... + 1516313.

Almost surely, 225313453040 is an apocalyptic number.

25313453040 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 25313453040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40268636928).

25313453040 is an abundant number, since it is smaller than the sum of its proper divisors (55223820816).

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

25313453040 is a wasteful number, since it uses less digits than its factorization.

25313453040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16967 (or 16961 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 25313453040 its reverse (4035431352), we get a palindrome (29348884392).

The spelling of 25313453040 in words is "twenty-five billion, three hundred thirteen million, four hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 103 120 122 183 206 240 244 305 309 366 412 488 515 610 618 732 824 915 976 1030 1220 1236 1464 1545 1648 1830 2060 2440 2472 2928 3090 3660 4120 4880 4944 6180 6283 7320 8240 12360 12566 14640 16787 18849 24720 25132 31415 33574 37698 50264 50361 62830 67148 75396 83935 94245 100528 100722 125660 134296 150792 167870 188490 201444 251320 251805 268592 301584 335740 376980 402888 502640 503610 671480 753960 805776 1007220 1024007 1342960 1507920 1729061 2014440 2048014 3072021 3458122 4028880 4096028 5120035 5187183 6144042 6916244 8192056 8645305 10240070 10374366 12288084 13832488 15360105 16384112 17290610 20480140 20748732 24576168 25935915 27664976 30720210 34581220 40960280 41497464 49152336 51871830 61440420 69162440 81920560 82994928 103743660 105472721 122880840 138324880 207487320 210945442 245761680 316418163 414974640 421890884 527363605 632836326 843781768 1054727210 1265672652 1582090815 1687563536 2109454420 2531345304 3164181630 4218908840 5062690608 6328363260 8437817680 12656726520 25313453040