Search a number
-
+
85307581125336 = 23331432726498897
BaseRepresentation
bin10011011001011000111000…
…000100011101001011011000
3102012001022210000010020200010
4103121120320010131023120
542140134411232002321
6501233432312041520
723653161246242313
oct2331307004351330
9365038700106603
1085307581125336
11251aa818643639
1296992203932a0
13387a61657875b
14170cca226b97a
159ce0a5173676
hex4d963811d2d8

85307581125336 has 64 divisors (see below), whose sum is σ = 220199482644480. Its totient is φ = 27512213783040.

The previous prime is 85307581125329. The next prime is 85307581125343. The reversal of 85307581125336 is 63352118570358.

It is an interprime number because it is at equal distance from previous prime (85307581125329) and next prime (85307581125343).

It is a super-3 number, since 3×853075811253363 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10030161 + ... + 16468736.

It is an arithmetic number, because the mean of its divisors is an integer number (3440616916320).

Almost surely, 285307581125336 is an apocalyptic number.

It is an amenable number.

85307581125336 is an abundant number, since it is smaller than the sum of its proper divisors (134891901519144).

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

85307581125336 is a wasteful number, since it uses less digits than its factorization.

85307581125336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26503264 (or 26503260 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 57.

The spelling of 85307581125336 in words is "eighty-five trillion, three hundred seven billion, five hundred eighty-one million, one hundred twenty-five thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 4327 8654 12981 17308 25962 34616 51924 103848 134137 268274 402411 536548 804822 1073096 1609644 3219288 26498897 52997794 79496691 105995588 158993382 211991176 317986764 635973528 821465807 1642931614 2464397421 3285863228 4928794842 6571726456 9857589684 19715179368 114660727319 229321454638 343982181957 458642909276 687964363914 917285818552 1375928727828 2751857455656 3554482546889 7108965093778 10663447640667 14217930187556 21326895281334 28435860375112 42653790562668 85307581125336