Search a number
-
+
22013700399376 = 2472412612672
BaseRepresentation
bin1010000000101011101101…
…10010101110000100010000
32212221111012122000202101221
411000111312302232010100
510341133024300240001
6114452542050134424
74431303006011200
oct500256662560420
985844178022357
1022013700399376
117017a59a85734
12257649b881414
13c38b63068baa
1456167c4b6400
15282960a161a1
hex140576cae110

22013700399376 has 405 divisors, whose sum is σ = 52485241133871. Its totient is φ = 8918317900800.

The previous prime is 22013700399337. The next prime is 22013700399403. The reversal of 22013700399376 is 67399300731022.

The square root of 22013700399376 is 4691876.

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

It can be written as a sum of positive squares in 4 ways, for example, as 18633691688976 + 3380008710400 = 4316676^2 + 1838480^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 328562692495 + ... + 328562692561.

Almost surely, 222013700399376 is an apocalyptic number.

22013700399376 is the 4691876-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22013700399376

22013700399376 is an abundant number, since it is smaller than the sum of its proper divisors (30471540734495).

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

22013700399376 is an frugal number, since it uses more digits than its factorization.

22013700399376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 52.

The spelling of 22013700399376 in words is "twenty-two trillion, thirteen billion, seven hundred million, three hundred ninety-nine thousand, three hundred seventy-six".