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25423705632 = 2531321792179
BaseRepresentation
bin10111101011010111…
…101111011000100000
32102121211012001200010
4113223113233120200
5404031432040012
615402434124520
71560010634523
oct275327573040
972554161603
1025423705632
11a867023376
124b16420740
132522257b00
14133275cbba
159dbeb9c3c
hex5eb5ef620

25423705632 has 144 divisors (see below), whose sum is σ = 76517511840. Its totient is φ = 7362441216.

The previous prime is 25423705613. The next prime is 25423705639. The reversal of 25423705632 is 23650732452.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (25423705639) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229719 + ... + 321897.

It is an arithmetic number, because the mean of its divisors is an integer number (531371610).

Almost surely, 225423705632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25423705632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38258755920).

25423705632 is an abundant number, since it is smaller than the sum of its proper divisors (51093806208).

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

25423705632 is a wasteful number, since it uses less digits than its factorization.

25423705632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92235 (or 92214 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 39.

The spelling of 25423705632 in words is "twenty-five billion, four hundred twenty-three million, seven hundred five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 68 78 96 102 104 136 156 169 204 208 221 272 312 338 408 416 442 507 544 624 663 676 816 884 1014 1248 1326 1352 1632 1768 2028 2652 2704 2873 3536 4056 5304 5408 5746 7072 8112 8619 10608 11492 16224 17238 21216 22984 34476 45968 68952 91936 92179 137904 184358 275808 276537 368716 553074 737432 1106148 1198327 1474864 1567043 2212296 2396654 2949728 3134086 3594981 4424592 4701129 4793308 6268172 7189962 8849184 9402258 9586616 12536344 14379924 15578251 18804516 19173232 20371559 25072688 28759848 31156502 37609032 38346464 40743118 46734753 50145376 57519696 61114677 62313004 75218064 81486236 93469506 115039392 122229354 124626008 150436128 162972472 186939012 244458708 249252016 264830267 325944944 373878024 488917416 498504032 529660534 651889888 747756048 794490801 977834832 1059321068 1495512096 1588981602 1955669664 2118642136 3177963204 4237284272 6355926408 8474568544 12711852816 25423705632