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25421231430 = 2335727674861
BaseRepresentation
bin10111101011001110…
…010011010101000110
32102121122112100201000
4113223032103111012
5404030313401210
615402305114130
71556650621230
oct275316232506
972548470630
1025421231430
11a865693481
124b15628946
13252189c89a
1413322b7250
159dbb7bac0
hex5eb393546

25421231430 has 128 divisors (see below), whose sum is σ = 77518172160. Its totient is φ = 5807272320.

The previous prime is 25421231389. The next prime is 25421231441. The reversal of 25421231430 is 3413212452.

25421231430 is a `hidden beast` number, since 2 + 5 + 421 + 231 + 4 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 25421231394 and 25421231403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5227200 + ... + 5232060.

It is an arithmetic number, because the mean of its divisors is an integer number (605610720).

Almost surely, 225421231430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25421231430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38759086080).

25421231430 is an abundant number, since it is smaller than the sum of its proper divisors (52096940730).

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

25421231430 is a wasteful number, since it uses less digits than its factorization.

25421231430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7651 (or 7645 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 25421231430 its reverse (3413212452), we get a palindrome (28834443882).

The spelling of 25421231430 in words is "twenty-five billion, four hundred twenty-one million, two hundred thirty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 2767 4861 5534 8301 9722 13835 14583 16602 19369 24305 24903 27670 29166 34027 38738 41505 43749 48610 49806 58107 68054 72915 74709 83010 87498 96845 102081 116214 124515 131247 145830 149418 170135 174321 193690 204162 218745 249030 262494 290535 306243 340270 348642 373545 437490 510405 522963 581070 612486 656235 747090 871605 918729 1020810 1045926 1312470 1531215 1743210 1837458 2614815 3062430 4593645 5229630 9187290 13450387 26900774 40351161 67251935 80702322 94152709 121053483 134503870 188305418 201755805 242106966 282458127 363160449 403511610 470763545 564916254 605267415 726320898 847374381 941527090 1210534830 1412290635 1694748762 1815802245 2542123143 2824581270 3631604490 4236871905 5084246286 8473743810 12710615715 25421231430