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21514771680 = 253544822441
BaseRepresentation
bin10100000010011000…
…010101110011100000
32001112101211122100120
4110002120111303200
5323030240143210
613514520120240
71361104353603
oct240230256340
961471748316
1021514771680
119140589446
124205306080
13204b46c63c
14108155233a
1585dc32270
hex502615ce0

21514771680 has 48 divisors (see below), whose sum is σ = 67771532304. Its totient is φ = 5737272320.

The previous prime is 21514771679. The next prime is 21514771687. The reversal of 21514771680 is 8617741512.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21514771687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22410741 + ... + 22411700.

It is an arithmetic number, because the mean of its divisors is an integer number (1411906923).

Almost surely, 221514771680 is an apocalyptic number.

21514771680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21514771680 is an abundant number, since it is smaller than the sum of its proper divisors (46256760624).

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

21514771680 is a wasteful number, since it uses less digits than its factorization.

21514771680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44822459 (or 44822451 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

The spelling of 21514771680 in words is "twenty-one billion, five hundred fourteen million, seven hundred seventy-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 44822441 89644882 134467323 179289764 224112205 268934646 358579528 448224410 537869292 672336615 717159056 896448820 1075738584 1344673230 1434318112 1792897640 2151477168 2689346460 3585795280 4302954336 5378692920 7171590560 10757385840 21514771680