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25142330772 = 22331328871553
BaseRepresentation
bin10111011010100110…
…011000010110010100
32101220012201201221000
4113122212120112110
5402442414041042
615314503223300
71550023166616
oct273246302624
971805651830
1025142330772
11a732210269
124a58147b30
1324a8b7b700
141307236db6
159c243974c
hex5da998594

25142330772 has 144 divisors (see below), whose sum is σ = 70708740480. Its totient is φ = 7722404352.

The previous prime is 25142330753. The next prime is 25142330803. The reversal of 25142330772 is 27703324152.

25142330772 is a `hidden beast` number, since 251 + 4 + 2 + 330 + 7 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 16188748 + ... + 16190300.

It is an arithmetic number, because the mean of its divisors is an integer number (491032920).

Almost surely, 225142330772 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 25142330772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35354370240).

25142330772 is an abundant number, since it is smaller than the sum of its proper divisors (45566409708).

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

25142330772 is a wasteful number, since it uses less digits than its factorization.

25142330772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 25142330772 in words is "twenty-five billion, one hundred forty-two million, three hundred thirty thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 169 234 338 351 468 507 676 702 887 1014 1404 1521 1553 1774 2028 2661 3042 3106 3548 4563 4659 5322 6084 6212 7983 9126 9318 10644 11531 13977 15966 18252 18636 20189 23062 23949 27954 31932 34593 40378 41931 46124 47898 55908 60567 69186 80756 83862 95796 103779 121134 138372 149903 167724 181701 207558 242268 262457 299806 311337 363402 415116 449709 524914 545103 599612 622674 726804 787371 899418 1049828 1090206 1245348 1349127 1377511 1574742 1798836 2180412 2362113 2698254 2755022 3149484 4047381 4132533 4724226 5396508 5510044 7086339 8094762 8265066 9448452 12397599 14172678 16189524 16530132 17907643 24795198 28345356 35815286 37192797 49590396 53722929 71630572 74385594 107445858 148771188 161168787 214891716 232799359 322337574 465598718 483506361 644675148 698398077 931197436 967012722 1396796154 1934025444 2095194231 2793592308 4190388462 6285582693 8380776924 12571165386 25142330772