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45375361444 = 22729116348049
BaseRepresentation
bin101010010000100101…
…010001000110100100
311100010021202012011101
4222100211101012210
51220412043031234
632502315245444
73164305131340
oct522045210644
9140107665141
1045375361444
1118275232716
128964149884
134381906bca
1422a645c620
1512a8886814
hexa909511a4

45375361444 has 48 divisors (see below), whose sum is σ = 93962736000. Its totient is φ = 18759476736.

The previous prime is 45375361441. The next prime is 45375361517. The reversal of 45375361444 is 44416357354.

It is a junction number, because it is equal to n+sod(n) for n = 45375361394 and 45375361403.

It is not an unprimeable number, because it can be changed into a prime (45375361441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 920332 + ... + 968380.

It is an arithmetic number, because the mean of its divisors is an integer number (1957557000).

Almost surely, 245375361444 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 45375361444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46981368000).

45375361444 is an abundant number, since it is smaller than the sum of its proper divisors (48587374556).

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

45375361444 is a wasteful number, since it uses less digits than its factorization.

45375361444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49252 (or 49250 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 46.

The spelling of 45375361444 in words is "forty-five billion, three hundred seventy-five million, three hundred sixty-one thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 812 1163 2326 4652 8141 16282 32564 33727 48049 67454 96098 134908 192196 236089 336343 472178 672686 944356 1345372 1393421 2786842 5573684 9753947 19507894 39015788 55880987 111761974 223523948 391166909 782333818 1564667636 1620548623 3241097246 6482194492 11343840361 22687680722 45375361444