Search a number
-
+
25634205440 = 285174111503
BaseRepresentation
bin10111110111111010…
…101110111100000000
32110011111021120010022
4113313322232330000
5404444324033230
615435353553012
71565145102554
oct276772567400
973144246108
1025634205440
11a964927a58
124b74a15768
132556a4a2cc
1413526b5864
15a006ea1e5
hex5f7eaef00

25634205440 has 72 divisors (see below), whose sum is σ = 61442541888. Its totient is φ = 10246901760.

The previous prime is 25634205397. The next prime is 25634205461. The reversal of 25634205440 is 4450243652.

It is a super-2 number, since 2×256342054402 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 25634205440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2222729 + ... + 2234231.

Almost surely, 225634205440 is an apocalyptic number.

25634205440 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 25634205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30721270944).

25634205440 is an abundant number, since it is smaller than the sum of its proper divisors (35808336448).

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

25634205440 is a wasteful number, since it uses less digits than its factorization.

25634205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13265 (or 13251 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

The spelling of 25634205440 in words is "twenty-five billion, six hundred thirty-four million, two hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 1741 3482 6964 8705 11503 13928 17410 23006 27856 34820 46012 55712 57515 69640 92024 111424 115030 139280 184048 222848 230060 278560 368096 445696 460120 557120 736192 920240 1114240 1472384 1840480 2228480 2944768 3680960 7361920 14723840 20026723 40053446 80106892 100133615 160213784 200267230 320427568 400534460 640855136 801068920 1281710272 1602137840 2563420544 3204275680 5126841088 6408551360 12817102720 25634205440