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45772651808 = 2513232207997
BaseRepresentation
bin101010101000010000…
…110011110100100000
311101010222022122002022
4222220100303310200
51222220244324213
633005550441012
73210201056312
oct525020636440
9141128278068
1045772651808
1118459517864
128a55203168
13441600a070
1423031197b2
1512cd6b2308
hexaa8433d20

45772651808 has 72 divisors (see below), whose sum is σ = 101450192508. Its totient is φ = 20207227392.

The previous prime is 45772651753. The next prime is 45772651811. The reversal of 45772651808 is 80815627754.

It can be written as a sum of positive squares in 2 ways, for example, as 38436386704 + 7336265104 = 196052^2 + 85652^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 45772651808.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116066 + ... + 324062.

Almost surely, 245772651808 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 45772651808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50725096254).

45772651808 is an abundant number, since it is smaller than the sum of its proper divisors (55677540700).

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

45772651808 is a wasteful number, since it uses less digits than its factorization.

45772651808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208066 (or 208035 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 53.

The spelling of 45772651808 in words is "forty-five billion, seven hundred seventy-two million, six hundred fifty-one thousand, eight hundred eight".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 184 208 299 368 416 529 598 736 1058 1196 2116 2392 4232 4784 6877 8464 9568 13754 16928 27508 55016 110032 207997 220064 415994 831988 1663976 2703961 3327952 4783931 5407922 6655904 9567862 10815844 19135724 21631688 38271448 43263376 62191103 76542896 86526752 110030413 124382206 153085792 220060826 248764412 440121652 497528824 880243304 995057648 1430395369 1760486608 1990115296 2860790738 3520973216 5721581476 11443162952 22886325904 45772651808