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45703147400 = 23522937212969
BaseRepresentation
bin101010100100000111…
…101010111110001000
311100222010112102221222
4222210013222332020
51222100001204100
632555025021212
73205365225461
oct524407527610
9140863472858
1045703147400
11184232650a9
128a35a84808
1344047b2cb1
1422d7bc5d68
1512c7533485
hexaa41eaf88

45703147400 has 96 divisors (see below), whose sum is σ = 112895397000. Its totient is φ = 17173739520.

The previous prime is 45703147379. The next prime is 45703147421. The reversal of 45703147400 is 474130754.

It is an interprime number because it is at equal distance from previous prime (45703147379) and next prime (45703147421).

It can be written as a sum of positive squares in 12 ways, for example, as 23655055204 + 22048092196 = 153802^2 + 148486^2 .

It is a super-2 number, since 2×457031474002 (a number of 22 digits) 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 23 ways as a sum of consecutive naturals, for example, 108116 + ... + 321084.

Almost surely, 245703147400 is an apocalyptic number.

45703147400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45703147400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56447698500).

45703147400 is an abundant number, since it is smaller than the sum of its proper divisors (67192249600).

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

45703147400 is a wasteful number, since it uses less digits than its factorization.

45703147400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213051 (or 213042 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 35.

The spelling of 45703147400 in words is "forty-five billion, seven hundred three million, one hundred forty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 29 37 40 50 58 74 100 116 145 148 185 200 232 290 296 370 580 725 740 925 1073 1160 1450 1480 1850 2146 2900 3700 4292 5365 5800 7400 8584 10730 21460 26825 42920 53650 107300 212969 214600 425938 851876 1064845 1703752 2129690 4259380 5324225 6176101 7879853 8518760 10648450 12352202 15759706 21296900 24704404 30880505 31519412 39399265 42593800 49408808 61761010 63038824 78798530 123522020 154402525 157597060 196996325 228515737 247044040 308805050 315194120 393992650 457031474 617610100 787985300 914062948 1142578685 1235220200 1575970600 1828125896 2285157370 4570314740 5712893425 9140629480 11425786850 22851573700 45703147400