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45436051232 = 251113173183227
BaseRepresentation
bin101010010100001100…
…110001111100100000
311100021111221112220022
4222110030301330200
51221023112114412
632512324133012
73165643030445
oct522414617440
9140244845808
1045436051232
11182a6514870
128980537168
134391365b20
1422b05399cc
1512add73a72
hexa94331f20

45436051232 has 384 divisors, whose sum is σ = 116757946368. Its totient is φ = 17079091200.

The previous prime is 45436051189. The next prime is 45436051259. The reversal of 45436051232 is 23215063454.

It is a junction number, because it is equal to n+sod(n) for n = 45436051192 and 45436051201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200158703 + ... + 200158929.

It is an arithmetic number, because the mean of its divisors is an integer number (304057152).

Almost surely, 245436051232 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 45436051232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58378973184).

45436051232 is an abundant number, since it is smaller than the sum of its proper divisors (71321895136).

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

45436051232 is a wasteful number, since it uses less digits than its factorization.

45436051232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The spelling of 45436051232 in words is "forty-five billion, four hundred thirty-six million, fifty-one thousand, two hundred thirty-two".