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2875596066 = 234747393
BaseRepresentation
bin1010101101100110…
…0001110100100010
321102101221102020000
42223121201310202
521342123033231
61153202000430
7131155110000
oct25331416442
97371842200
102875596066
111246220982
12683046116
1336a9a7c45
141d3ca1a70
1511c6bd6e6
hexab661d22

2875596066 has 100 divisors (see below), whose sum is σ = 7517945622. Its totient is φ = 821487744.

The previous prime is 2875596043. The next prime is 2875596067. The reversal of 2875596066 is 6606955782.

It is a happy number.

2875596066 is a `hidden beast` number, since 2 + 87 + 559 + 6 + 0 + 6 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2754045441 + 121550625 = 52479^2 + 11025^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2875596067) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 385266 + ... + 392658.

Almost surely, 22875596066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2875596066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758972811).

2875596066 is an abundant number, since it is smaller than the sum of its proper divisors (4642349556).

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

2875596066 is an frugal number, since it uses more digits than its factorization.

2875596066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7435 (or 7405 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The square root of 2875596066 is about 53624.5845298591. The cubic root of 2875596066 is about 1422.0317516811.

The spelling of 2875596066 in words is "two billion, eight hundred seventy-five million, five hundred ninety-six thousand, sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 343 378 441 567 686 882 1029 1134 1323 2058 2401 2646 3087 3969 4802 6174 7203 7393 7938 9261 14406 14786 18522 21609 22179 27783 43218 44358 51751 55566 64827 66537 103502 129654 133074 155253 194481 199611 310506 362257 388962 399222 465759 598833 724514 931518 1086771 1197666 1397277 2173542 2535799 2794554 3260313 4191831 5071598 6520626 7607397 8383662 9780939 15214794 17750593 19561878 22822191 29342817 35501186 45644382 53251779 58685634 68466573 106503558 136933146 159755337 205399719 319510674 410799438 479266011 958532022 1437798033 2875596066