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30852990476 = 227111918612833
BaseRepresentation
bin11100101110111110…
…110100011000001100
32221122012100022022222
4130232332310120030
51001141331143401
622101302354512
72141365043360
oct345676643014
987565308288
1030852990476
11120a2788440
125b9072ba38
132ba900c5a9
1416c98492a0
15c0896bc1b
hex72efb460c

30852990476 has 96 divisors (see below), whose sum is σ = 70921643520. Its totient is φ = 11377843200.

The previous prime is 30852990463. The next prime is 30852990517. The reversal of 30852990476 is 67409925803.

It is a happy number.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 10889156 + ... + 10891988.

It is an arithmetic number, because the mean of its divisors is an integer number (738767120).

Almost surely, 230852990476 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 30852990476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35460821760).

30852990476 is an abundant number, since it is smaller than the sum of its proper divisors (40068653044).

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

30852990476 is a wasteful number, since it uses less digits than its factorization.

30852990476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4735 (or 4733 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 53.

The spelling of 30852990476 in words is "thirty billion, eight hundred fifty-two million, nine hundred ninety thousand, four hundred seventy-six".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 133 154 209 266 308 418 532 836 1463 1861 2833 2926 3722 5666 5852 7444 11332 13027 19831 20471 26054 31163 35359 39662 40942 52108 53827 62326 70718 79324 81884 107654 124652 141436 143297 215308 218141 247513 286594 376789 388949 436282 495026 573188 592097 753578 777898 872564 990052 1184194 1507156 1555796 2368388 2722643 4144679 5272213 5445286 8289358 10544426 10890572 16578716 21088852 36905491 57994343 73810982 100172047 115988686 147621964 200344094 231977372 400688188 405960401 701204329 811920802 1101892517 1402408658 1623841604 2203785034 2804817316 4407570068 7713247619 15426495238 30852990476