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2666342432 = 251317337049
BaseRepresentation
bin1001111011101101…
…0010100000100000
320212211012020012102
42132323102200200
520430040424212
61120324545532
7123034352045
oct23673224040
96784166172
102666342432
111149098596
12624b522a8
13336530a20
141b41911cc
151091375c2
hex9eed2820

2666342432 has 48 divisors (see below), whose sum is σ = 5685989400. Its totient is φ = 1223473152.

The previous prime is 2666342423. The next prime is 2666342443. The reversal of 2666342432 is 2342436662.

It can be written as a sum of positive squares in 4 ways, for example, as 1950458896 + 715883536 = 44164^2 + 26756^2 .

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, 53444 + ... + 90492.

Almost surely, 22666342432 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 2666342432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2842994700).

2666342432 is an abundant number, since it is smaller than the sum of its proper divisors (3019646968).

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

2666342432 is a wasteful number, since it uses less digits than its factorization.

2666342432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37245 (or 37237 counting only the distinct ones).

The product of its digits is 248832, while the sum is 38.

The square root of 2666342432 is about 51636.6384653378. The cubic root of 2666342432 is about 1386.6663434828. Note that the first 3 decimals are identical.

The spelling of 2666342432 in words is "two billion, six hundred sixty-six million, three hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 173 208 346 416 692 1384 2249 2768 4498 5536 8996 17992 35984 37049 71968 74098 148196 296392 481637 592784 963274 1185568 1926548 3853096 6409477 7706192 12818954 15412384 25637908 51275816 83323201 102551632 166646402 205103264 333292804 666585608 1333171216 2666342432