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252606021680 = 2454124634057
BaseRepresentation
bin1110101101000001111…
…1100000000000110000
3220011000112210110210202
43223100133200000300
513114314120143210
6312013503414332
724151545520415
oct3532037400060
9804015713722
10252606021680
1198147571981
1240b592b43a8
131aa88c5c95c
14c32498010c
1568869d89a5
hex3ad07e0030

252606021680 has 120 divisors (see below), whose sum is σ = 603431871936. Its totient is φ = 98340802560.

The previous prime is 252606021677. The next prime is 252606021713. The reversal of 252606021680 is 86120606252.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62262212 + ... + 62266268.

Almost surely, 2252606021680 is an apocalyptic number.

252606021680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252606021680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301715935968).

252606021680 is an abundant number, since it is smaller than the sum of its proper divisors (350825850256).

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

252606021680 is a wasteful number, since it uses less digits than its factorization.

252606021680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4615 (or 4568 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 252606021680 in words is "two hundred fifty-two billion, six hundred six million, twenty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 463 656 820 926 1640 1681 1852 2315 3280 3362 3704 4057 4630 6724 7408 8114 8405 9260 13448 16228 16810 18520 18983 20285 26896 32456 33620 37040 37966 40570 64912 67240 75932 81140 94915 134480 151864 162280 166337 189830 303728 324560 332674 379660 665348 759320 778303 831685 1330696 1518640 1556606 1663370 1878391 2661392 3113212 3326740 3756782 3891515 6226424 6653480 6819817 7513564 7783030 9391955 12452848 13306960 13639634 15027128 15566060 18783910 27279268 30054256 31132120 34099085 37567820 54558536 62264240 68198170 75135640 77014031 109117072 136396340 150271280 154028062 272792680 308056124 385070155 545585360 616112248 770140310 1232224496 1540280620 3080561240 3157575271 6161122480 6315150542 12630301084 15787876355 25260602168 31575752710 50521204336 63151505420 126303010840 252606021680