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7985253234 = 2371931417873
BaseRepresentation
bin1110110111111010…
…10100101101110010
3202121111122220010210
413123331110231302
5112323211100414
63400211404550
7401611350450
oct73375245562
922544586123
107985253234
113428515a42
12166a2b3756
139a347bb1a
1455a7499d0
1531b085e59
hex1dbf54b72

7985253234 has 128 divisors (see below), whose sum is σ = 20318699520. Its totient is φ = 2040422400.

The previous prime is 7985253191. The next prime is 7985253259. The reversal of 7985253234 is 4323525897.

It is a super-2 number, since 2×79852532342 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1010322 + ... + 1018194.

It is an arithmetic number, because the mean of its divisors is an integer number (158739840).

Almost surely, 27985253234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7985253234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10159349760).

7985253234 is an abundant number, since it is smaller than the sum of its proper divisors (12333446286).

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

7985253234 is a wasteful number, since it uses less digits than its factorization.

7985253234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7976.

The product of its digits is 1814400, while the sum is 48.

The square root of 7985253234 is about 89360.2441469359. The cubic root of 7985253234 is about 1998.7703469650.

The spelling of 7985253234 in words is "seven billion, nine hundred eighty-five million, two hundred fifty-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 14 19 21 31 38 41 42 57 62 82 93 114 123 133 186 217 246 266 287 399 434 574 589 651 779 798 861 1178 1271 1302 1558 1722 1767 2337 2542 3534 3813 4123 4674 5453 7626 7873 8246 8897 10906 12369 15746 16359 17794 23619 24149 24738 26691 32718 47238 48298 53382 55111 72447 110222 144894 149587 165333 169043 244063 299174 322793 330666 338086 448761 488126 507129 645586 732189 897522 968379 1014258 1047109 1464378 1708441 1936758 2094218 2259551 3141327 3416882 4519102 4637197 5125323 6133067 6282654 6778653 9274394 10006583 10250646 12266134 13557306 13911591 18399201 20013166 27823182 30019749 32460379 36798402 42931469 60039498 64920758 70046081 85862938 97381137 128794407 140092162 190125077 194762274 210138243 257588814 380250154 420276486 570375231 1140750462 1330875539 2661751078 3992626617 7985253234