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3823048086330 = 2351127639137869
BaseRepresentation
bin110111101000011111011…
…011000101001100111010
3111112110221210110010001210
4313220133123011030322
51000114100302230310
612044141204223550
7543130460363064
oct67503733051472
914473853403053
103823048086330
111244388a83900
12518b2309abb6
13219686803a85
14d30722a6734
15696a6193820
hex37a1f6c533a

3823048086330 has 96 divisors (see below), whose sum is σ = 10086657436800. Its totient is φ = 926671489920.

The previous prime is 3823048086307. The next prime is 3823048086371. The reversal of 3823048086330 is 336808403283.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3823048086330.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27660636 + ... + 27798504.

It is an arithmetic number, because the mean of its divisors is an integer number (105069348300).

Almost surely, 23823048086330 is an apocalyptic number.

3823048086330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3823048086330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5043328718400).

3823048086330 is an abundant number, since it is smaller than the sum of its proper divisors (6263609350470).

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

3823048086330 is a wasteful number, since it uses less digits than its factorization.

3823048086330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145540 (or 145529 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 3823048086330 in words is "three trillion, eight hundred twenty-three billion, forty-eight million, eighty-six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1815 3630 7639 15278 22917 38195 45834 76390 84029 114585 137869 168058 229170 252087 275738 413607 420145 504174 689345 827214 840290 924319 1260435 1378690 1516559 1848638 2068035 2520870 2772957 3033118 4136070 4549677 4621595 5545914 7582795 9099354 9243190 13864785 15165590 16682149 22748385 27729570 33364298 45496770 50046447 83410745 100092894 166821490 250232235 500464470 1053181291 2106362582 3159543873 5265906455 6319087746 10531812910 11584994201 15797719365 23169988402 31595438730 34754982603 57924971005 69509965206 115849942010 127434936211 173774913015 254869872422 347549826030 382304808633 637174681055 764609617266 1274349362110 1911524043165 3823048086330