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2057137314 = 23675998543
BaseRepresentation
bin111101010011101…
…0110110010100010
312022100212101212220
41322213112302202
513203111343224
6540043331510
7101656243611
oct17247266242
95270771786
102057137314
11966222791
12494b20b96
1326a26131b
141572cd878
15c08ec279
hex7a9d6ca2

2057137314 has 32 divisors (see below), whose sum is σ = 4183142400. Its totient is φ = 674271312.

The previous prime is 2057137279. The next prime is 2057137349. The reversal of 2057137314 is 4137317502.

It is an interprime number because it is at equal distance from previous prime (2057137279) and next prime (2057137349).

It is a super-2 number, since 2×20571373142 = 8463627857302269192, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236527 + ... + 245069.

It is an arithmetic number, because the mean of its divisors is an integer number (130723200).

Almost surely, 22057137314 is an apocalyptic number.

2057137314 is an abundant number, since it is smaller than the sum of its proper divisors (2126005086).

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

2057137314 is a wasteful number, since it uses less digits than its factorization.

2057137314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9214.

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 2057137314 is about 45355.6756536599. The cubic root of 2057137314 is about 1271.8066572063.

The spelling of 2057137314 in words is "two billion, fifty-seven million, one hundred thirty-seven thousand, three hundred fourteen".

Divisors: 1 2 3 6 67 134 201 402 599 1198 1797 3594 8543 17086 25629 40133 51258 80266 120399 240798 572381 1144762 1717143 3434286 5117257 10234514 15351771 30703542 342856219 685712438 1028568657 2057137314