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2328639376144 = 24172224412
BaseRepresentation
bin100001111000101101101…
…110010000101100010000
322020121121212210221001011
4201320231232100230100
5301123023140014034
64541432343220304
7330144566053024
oct41705556205420
98217555727034
102328639376144
11818630247294
12317380747694
1313b7888b51a3
14809c7458384
154088eaec864
hex21e2db90b10

2328639376144 has 45 divisors (see below), whose sum is σ = 4792960324191. Its totient is φ = 1095781463040.

The previous prime is 2328639376123. The next prime is 2328639376163. The reversal of 2328639376144 is 4416739368232.

The square root of 2328639376144 is 1525988.

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 217174640400 + 2111464735744 = 466020^2 + 1453088^2 .

It is a super-2 number, since 2×23286393761442 (a number of 26 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, 103755964 + ... + 103778404.

Almost surely, 22328639376144 is an apocalyptic number.

2328639376144 is the 1525988-th square number.

It is an amenable number.

2328639376144 is an abundant number, since it is smaller than the sum of its proper divisors (2464320948047).

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

2328639376144 is an frugal number, since it uses more digits than its factorization.

2328639376144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44924 (or 22460 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 58.

The spelling of 2328639376144 in words is "two trillion, three hundred twenty-eight billion, six hundred thirty-nine million, three hundred seventy-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 22441 44882 89764 179528 359056 381497 762994 1525988 3051976 6103952 6485449 12970898 25941796 51883592 103767184 503598481 1007196962 2014393924 4028787848 8057575696 8561174177 17122348354 34244696708 68489393416 136978786832 145539961009 291079922018 582159844036 1164319688072 2328639376144