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45768187400 = 23521317603149
BaseRepresentation
bin101010100111111111…
…110001111000001000
311101010122220211001212
4222213333301320020
51222213123444100
633005311032252
73210115113455
oct524777617010
9141118824055
1045768187400
1118456a48671
128a5380b688
134415105cc0
1423026b682c
1512cd0ce635
hexaa7ff1e08

45768187400 has 48 divisors (see below), whose sum is σ = 114596506500. Its totient is φ = 16899022080.

The previous prime is 45768187379. The next prime is 45768187403. The reversal of 45768187400 is 478186754.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7232141764 + 38536045636 = 85042^2 + 196306^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (45768187403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8798975 + ... + 8804174.

Almost surely, 245768187400 is an apocalyptic number.

45768187400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45768187400 is an abundant number, since it is smaller than the sum of its proper divisors (68828319100).

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

45768187400 is a wasteful number, since it uses less digits than its factorization.

45768187400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17603178 (or 17603169 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 50.

The spelling of 45768187400 in words is "forty-five billion, seven hundred sixty-eight million, one hundred eighty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 17603149 35206298 70412596 88015745 140825192 176031490 228840937 352062980 440078725 457681874 704125960 880157450 915363748 1144204685 1760314900 1830727496 2288409370 3520629800 4576818740 5721023425 9153637480 11442046850 22884093700 45768187400