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252121405232 = 241714935317623
BaseRepresentation
bin1110101011001110011…
…0110101011100110000
3220002202202220102000102
43222303212311130300
513112321034431412
6311453432411532
724133542404444
oct3526346653460
9802682812012
10252121405232
1197a18a62414
1240a42b46ba8
131aa0c732968
14c2ba470824
1568591ad8c2
hex3ab39b5730

252121405232 has 80 divisors (see below), whose sum is σ = 522195595200. Its totient is φ = 117508571136.

The previous prime is 252121405219. The next prime is 252121405241. The reversal of 252121405232 is 232504121252.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 252121405195 and 252121405204.

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, 14297573 + ... + 14315195.

It is an arithmetic number, because the mean of its divisors is an integer number (6527444940).

Almost surely, 2252121405232 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 252121405232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261097797600).

252121405232 is an abundant number, since it is smaller than the sum of its proper divisors (270074189968).

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

252121405232 is a wasteful number, since it uses less digits than its factorization.

252121405232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18150 (or 18144 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 252121405232 its reverse (232504121252), we get a palindrome (484625526484).

The spelling of 252121405232 in words is "two hundred fifty-two billion, one hundred twenty-one million, four hundred five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 68 136 149 272 298 353 596 706 1192 1412 2384 2533 2824 5066 5648 6001 10132 12002 17623 20264 24004 35246 40528 48008 52597 70492 96016 105194 140984 210388 281968 299591 420776 599182 841552 894149 1198364 1788298 2396728 2625827 3576596 4793456 5251654 6220919 7153192 10503308 12441838 14306384 21006616 24883676 42013232 44639059 49767352 89278118 99534704 105755623 178556236 211511246 357112472 423022492 714224944 846044984 926916931 1692089968 1853833862 3707667724 7415335448 14830670896 15757587827 31515175654 63030351308 126060702616 252121405232