Search a number
-
+
252641001203400 = 233522511677563089
BaseRepresentation
bin111001011100011010010001…
…001000011110011011001000
31020010112020120202111011112110
4321130122101020132123020
5231103232232302002100
62253153401304142320
7104133465345625125
oct7134322110363310
91203466522434473
10252641001203400
11735544a0929787
12244036281679a0
13aac7c374c4b04
144655c654b174c
151e31b8b39e250
hexe5c69121e6c8

252641001203400 has 96 divisors (see below), whose sum is σ = 786307371544800. Its totient is φ = 67102523520000.

The previous prime is 252641001203377. The next prime is 252641001203431. The reversal of 252641001203400 is 4302100146252.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 838630945 + ... + 838932144.

It is an arithmetic number, because the mean of its divisors is an integer number (8190701786925).

Almost surely, 2252641001203400 is an apocalyptic number.

252641001203400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252641001203400 is an abundant number, since it is smaller than the sum of its proper divisors (533666370341400).

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

252641001203400 is a wasteful number, since it uses less digits than its factorization.

252641001203400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677563359 (or 1677563350 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 252641001203400 its reverse (4302100146252), we get a palindrome (256943101349652).

The spelling of 252641001203400 in words is "two hundred fifty-two trillion, six hundred forty-one billion, one million, two hundred three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 251 300 502 600 753 1004 1255 1506 2008 2510 3012 3765 5020 6024 6275 7530 10040 12550 15060 18825 25100 30120 37650 50200 75300 150600 1677563089 3355126178 5032689267 6710252356 8387815445 10065378534 13420504712 16775630890 20130757068 25163446335 33551261780 40261514136 41939077225 50326892670 67102523560 83878154450 100653785340 125817231675 167756308900 201307570680 251634463350 335512617800 421068335339 503268926700 842136670678 1006537853400 1263205006017 1684273341356 2105341676695 2526410012034 3368546682712 4210683353390 5052820024068 6316025030085 8421366706780 10105640048136 10526708383475 12632050060170 16842733413560 21053416766950 25264100120340 31580125150425 42106833533900 50528200240680 63160250300850 84213667067800 126320500601700 252641001203400