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21740912704 = 267226332
BaseRepresentation
bin10100001111110111…
…000000000001000000
32002010011100210112001
4110033313000001000
5324011133201304
613553155113344
71366521465100
oct241767000100
962104323461
1021740912704
1192471a6555
124268ba2854
13208627a2b4
1410a35bb200
15873a01da4
hex50fdc0040

21740912704 has 63 divisors (see below), whose sum is σ = 50204803197. Its totient is φ = 9313995264.

The previous prime is 21740912701. The next prime is 21740912719. The reversal of 21740912704 is 40721904712.

The square root of 21740912704 is 147448.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3556929600 + 18183983104 = 59640^2 + 134848^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21740912701) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8255772 + ... + 8258404.

Almost surely, 221740912704 is an apocalyptic number.

21740912704 is the 147448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21740912704

21740912704 is an abundant number, since it is smaller than the sum of its proper divisors (28463890493).

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

21740912704 is an frugal number, since it uses more digits than its factorization.

21740912704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5292 (or 2642 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

Multiplying 21740912704 by its product of nonzero digits (28224), we get a square (613615520157696 = 247712642).

The spelling of 21740912704 in words is "twenty-one billion, seven hundred forty million, nine hundred twelve thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 2633 3136 5266 10532 18431 21064 36862 42128 73724 84256 129017 147448 168512 258034 294896 516068 589792 1032136 1179584 2064272 4128544 6932689 8257088 13865378 27730756 48528823 55461512 97057646 110923024 194115292 221846048 339701761 388230584 443692096 679403522 776461168 1358807044 1552922336 2717614088 3105844672 5435228176 10870456352 21740912704