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14421826521664 = 26292163692
BaseRepresentation
bin1101000111011101011111…
…0110001100101001000000
31220001201020212221111200121
43101313113312030221000
53342241400042143124
650401143505230024
73015641206543402
oct321672766145100
956051225844617
1014421826521664
114660298105841
12174b068632314
13807c844b4963
1437c03d334b72
151a0228aa92e4
hexd1dd7d8ca40

14421826521664 has 63 divisors (see below), whose sum is σ = 29640990057627. Its totient is φ = 6961835747328.

The previous prime is 14421826521593. The next prime is 14421826521677. The reversal of 14421826521664 is 46612562812441.

The square root of 14421826521664 is 3797608.

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

14421826521664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 395902707264 + 14025923814400 = 629208^2 + 3745120^2 .

It is a super-2 number, since 2×144218265216642 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 881036872 + ... + 881053240.

Almost surely, 214421826521664 is an apocalyptic number.

14421826521664 is the 3797608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14421826521664

14421826521664 is an abundant number, since it is smaller than the sum of its proper divisors (15219163535963).

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

14421826521664 is an frugal number, since it uses more digits than its factorization.

14421826521664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32808 (or 16400 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 52.

The spelling of 14421826521664 in words is "fourteen trillion, four hundred twenty-one billion, eight hundred twenty-six million, five hundred twenty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 841 928 1682 1856 3364 6728 13456 16369 26912 32738 53824 65476 130952 261904 474701 523808 949402 1047616 1898804 3797608 7595216 13766329 15190432 27532658 30380864 55065316 110130632 220261264 267944161 440522528 535888322 881045056 1071776644 2143553288 4287106576 7770380669 8574213152 15540761338 17148426304 31081522676 62163045352 124326090704 225341039401 248652181408 450682078802 497304362816 901364157604 1802728315208 3605456630416 7210913260832 14421826521664