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2712892896 = 253279713873
BaseRepresentation
bin1010000110110011…
…0111010111100000
321000001210020102200
42201230313113200
521024000033041
61125110413200
7124141131510
oct24154672740
97001706380
102712892896
1111723a264a
12638661200
1334307bc8c
141ba42b840
1510d2801b6
hexa1b375e0

2712892896 has 144 divisors (see below), whose sum is σ = 8908439904. Its totient is φ = 767066112.

The previous prime is 2712892891. The next prime is 2712892901. The reversal of 2712892896 is 6982982172.

2712892896 is a `hidden beast` number, since 271 + 289 + 2 + 8 + 96 = 666.

2712892896 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2712892891) and next prime (2712892901).

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2712892891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188616 + ... + 202488.

It is an arithmetic number, because the mean of its divisors is an integer number (61864166).

Almost surely, 22712892896 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 2712892896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4454219952).

2712892896 is an abundant number, since it is smaller than the sum of its proper divisors (6195547008).

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

2712892896 is a wasteful number, since it uses less digits than its factorization.

2712892896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13993 (or 13982 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 2712892896 is about 52085.4384257251. The cubic root of 2712892896 is about 1394.6895582370.

The spelling of 2712892896 in words is "two billion, seven hundred twelve million, eight hundred ninety-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 97 112 126 144 168 194 224 252 288 291 336 388 504 582 672 679 776 873 1008 1164 1358 1552 1746 2016 2037 2328 2716 3104 3492 4074 4656 5432 6111 6984 8148 9312 10864 12222 13873 13968 16296 21728 24444 27746 27936 32592 41619 48888 55492 65184 83238 97111 97776 110984 124857 166476 194222 195552 221968 249714 291333 332952 388444 443936 499428 582666 665904 776888 873999 998856 1165332 1331808 1345681 1553776 1747998 1997712 2330664 2691362 3107552 3495996 3995424 4037043 4661328 5382724 6991992 8074086 9322656 9419767 10765448 12111129 13983984 16148172 18839534 21530896 24222258 27967968 28259301 32296344 37679068 43061792 48444516 56518602 64592688 75358136 84777903 96889032 113037204 129185376 150716272 169555806 193778064 226074408 301432544 339111612 387556128 452148816 678223224 904297632 1356446448 2712892896