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25433250432 = 273198341999
BaseRepresentation
bin10111101011111100…
…001001101010000000
32102122111010222200020
4113223330021222000
5404041403003212
615403414453440
71560155030112
oct275374115200
972574128606
1025433250432
11a871452537
124b19664280
13252421a415
141333b253b2
159dcc52d8c
hex5ebf09a80

25433250432 has 128 divisors (see below), whose sum is σ = 71971200000. Its totient is φ = 7934598144.

The previous prime is 25433250347. The next prime is 25433250433. The reversal of 25433250432 is 23405233452.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 25433250393 and 25433250402.

It is not an unprimeable number, because it can be changed into a prime (25433250433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 584569 + ... + 626567.

It is an arithmetic number, because the mean of its divisors is an integer number (562275000).

Almost surely, 225433250432 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 25433250432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35985600000).

25433250432 is an abundant number, since it is smaller than the sum of its proper divisors (46537949568).

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

25433250432 is a wasteful number, since it uses less digits than its factorization.

25433250432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42118 (or 42106 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 33.

Adding to 25433250432 its reverse (23405233452), we get a palindrome (48838483884).

The spelling of 25433250432 in words is "twenty-five billion, four hundred thirty-three million, two hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 83 96 114 128 152 166 192 228 249 304 332 384 456 498 608 664 912 996 1216 1328 1577 1824 1992 2432 2656 3154 3648 3984 4731 5312 6308 7296 7968 9462 10624 12616 15936 18924 25232 31872 37848 41999 50464 75696 83998 100928 125997 151392 167996 201856 251994 302784 335992 503988 605568 671984 797981 1007976 1343968 1595962 2015952 2393943 2687936 3191924 3485917 4031904 4787886 5375872 6383848 6971834 8063808 9575772 10457751 12767696 13943668 16127616 19151544 20915502 25535392 27887336 38303088 41831004 51070784 55774672 66232423 76606176 83662008 102141568 111549344 132464846 153212352 167324016 198697269 223098688 264929692 306424704 334648032 397394538 446197376 529859384 669296064 794789076 1059718768 1338592128 1589578152 2119437536 3179156304 4238875072 6358312608 8477750144 12716625216 25433250432