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2666415232 = 27136732381
BaseRepresentation
bin1001111011101110…
…0100010010000000
320212211022221001201
42132323210102000
520430100241412
61120330310544
7123035104225
oct23673442200
96784287051
102666415232
111149138258
12624b88454
13336557bc0
141b41ad94c
1510914de57
hex9eee4480

2666415232 has 64 divisors (see below), whose sum is σ = 5731520760. Its totient is φ = 1228308480.

The previous prime is 2666415223. The next prime is 2666415247. The reversal of 2666415232 is 2325146662.

It can be written as a sum of positive squares in 4 ways, for example, as 650046016 + 2016369216 = 25496^2 + 44904^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×26664152322 = 14219540378883227648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2666415191 and 2666415200.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1118682 + ... + 1121062.

Almost surely, 22666415232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2666415232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865760380).

2666415232 is an abundant number, since it is smaller than the sum of its proper divisors (3065105528).

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

2666415232 is a wasteful number, since it uses less digits than its factorization.

2666415232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3081 (or 3069 counting only the distinct ones).

The product of its digits is 103680, while the sum is 37.

The square root of 2666415232 is about 51637.3433863517. The cubic root of 2666415232 is about 1386.6789635662.

The spelling of 2666415232 in words is "two billion, six hundred sixty-six million, four hundred fifteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 673 832 1346 1664 2381 2692 4762 5384 8749 9524 10768 17498 19048 21536 30953 34996 38096 43072 61906 69992 76192 86144 123812 139984 152384 247624 279968 304768 495248 559936 990496 1119872 1602413 1980992 3204826 3961984 6409652 12819304 20831369 25638608 41662738 51277216 83325476 102554432 166650952 205108864 333301904 666603808 1333207616 2666415232