Search a number
-
+
21502340051200 = 285216661201653
BaseRepresentation
bin1001110001110011001110…
…10101110011000100000000
32211010121022001022120011021
410320321213111303010000
510304243243023114300
6113422012203155224
74346331013532101
oct470714725630400
984117261276137
1021502340051200
116940100437538
1224b336a215b14
13bcc87b456408
14544a0c5c03a8
152744d28b3d1a
hex138e67573100

21502340051200 has 108 divisors (see below), whose sum is σ = 53225109695268. Its totient is φ = 8600377139200.

The previous prime is 21502340051197. The next prime is 21502340051249. The reversal of 21502340051200 is 215004320512.

It can be written as a sum of positive squares in 6 ways, for example, as 5410945908736 + 16091394142464 = 2326144^2 + 4011408^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106529574 + ... + 106731226.

It is an arithmetic number, because the mean of its divisors is an integer number (492825089771).

Almost surely, 221502340051200 is an apocalyptic number.

21502340051200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21502340051200 is an abundant number, since it is smaller than the sum of its proper divisors (31722769644068).

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

21502340051200 is a wasteful number, since it uses less digits than its factorization.

21502340051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218340 (or 218321 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 21502340051200 its reverse (215004320512), we get a palindrome (21717344371712).

The spelling of 21502340051200 in words is "twenty-one trillion, five hundred two billion, three hundred forty million, fifty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 3200 6400 16661 33322 66644 83305 133288 166610 201653 266576 333220 403306 416525 533152 666440 806612 833050 1008265 1066304 1332880 1613224 1666100 2016530 2132608 2665760 3226448 3332200 4033060 4265216 5041325 5331520 6452896 6664400 8066120 10082650 10663040 12905792 13328800 16132240 20165300 21326080 25811584 26657600 32264480 40330600 51623168 53315200 64528960 80661200 106630400 129057920 161322400 258115840 322644800 645289600 1290579200 3359740633 6719481266 13438962532 16798703165 26877925064 33597406330 53755850128 67194812660 83993515825 107511700256 134389625320 167987031650 215023400512 268779250640 335974063300 430046801024 537558501280 671948126600 860093602048 1075117002560 1343896253200 2150234005120 2687792506400 4300468010240 5375585012800 10751170025600 21502340051200