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30682426896 = 243211213272
BaseRepresentation
bin11100100100110100…
…001010111000010000
32221012022101210002100
4130210310022320100
51000314200130041
622032330520400
72134224216432
oct344464127020
987168353070
1030682426896
1112015480500
125b43596100
132b7c8908b4
1416b0d2a652
15be89c96b6
hex724d0ae10

30682426896 has 135 divisors (see below), whose sum is σ = 94455212943. Its totient is φ = 9290698560.

The previous prime is 30682426877. The next prime is 30682426927. The reversal of 30682426896 is 69862428603.

The square root of 30682426896 is 175164.

It is a perfect power (a square), and thus also a powerful number.

30682426896 is a `hidden beast` number, since 306 + 8 + 242 + 6 + 8 + 96 = 666.

It is a super-2 number, since 2×306824268962 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23120985 + ... + 23122311.

Almost surely, 230682426896 is an apocalyptic number.

30682426896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

30682426896 is the 175164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30682426896

30682426896 is an abundant number, since it is smaller than the sum of its proper divisors (63772786047).

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

30682426896 is a wasteful number, since it uses less digits than its factorization.

30682426896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2690 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 30682426896 in words is "thirty billion, six hundred eighty-two million, four hundred twenty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1327 1452 1584 1936 2178 2654 2904 3981 4356 5308 5808 7962 8712 10616 11943 14597 15924 17424 21232 23886 29194 31848 43791 47772 58388 63696 87582 95544 116776 131373 160567 175164 191088 233552 262746 321134 350328 481701 525492 642268 700656 963402 1050984 1284536 1445103 1760929 1926804 2101968 2569072 2890206 3521858 3853608 5282787 5780412 7043716 7707216 10565574 11560824 14087432 15848361 19370219 21131148 23121648 28174864 31696722 38740438 42262296 58110657 63393444 77480876 84524592 116221314 126786888 154961752 174331971 213072409 232442628 253573776 309923504 348663942 426144818 464885256 639217227 697327884 852289636 929770512 1278434454 1394655768 1704579272 1917651681 2556868908 2789311536 3409158544 3835303362 5113737816 7670606724 10227475632 15341213448 30682426896