Search a number
-
+
21872749429344 = 2531120712830899
BaseRepresentation
bin1001111100100101001010…
…11101011100001001100000
32212110000101111220121000110
410332102211131130021200
510331330342323214334
6114304111413451320
74415153056355412
oct476224535341140
985400344817013
1021872749429344
116a731a9916750
122553103640b40
13c2878c475748
1455890a8609b2
1527de6159aae9
hex13e4a575c260

21872749429344 has 48 divisors (see below), whose sum is σ = 62635600641600. Its totient is φ = 6628105887360.

The previous prime is 21872749429309. The next prime is 21872749429357. The reversal of 21872749429344 is 44392494727812.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10356414394 + ... + 10356416505.

It is an arithmetic number, because the mean of its divisors is an integer number (1304908346700).

Almost surely, 221872749429344 is an apocalyptic number.

21872749429344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21872749429344 is an abundant number, since it is smaller than the sum of its proper divisors (40762851212256).

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

21872749429344 is a wasteful number, since it uses less digits than its factorization.

21872749429344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20712830923 (or 20712830915 counting only the distinct ones).

The product of its digits is 195084288, while the sum is 66.

The spelling of 21872749429344 in words is "twenty-one trillion, eight hundred seventy-two billion, seven hundred forty-nine million, four hundred twenty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 20712830899 41425661798 62138492697 82851323596 124276985394 165702647192 227841139889 248553970788 331405294384 455682279778 497107941576 662810588768 683523419667 911364559556 994215883152 1367046839334 1822729119112 1988431766304 2734093678668 3645458238224 5468187357336 7290916476448 10936374714672 21872749429344