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45529157824 = 264171244381
BaseRepresentation
bin101010011001101111…
…111101000011000000
311100112000010212010121
4222121233331003000
51221220431022244
632525451510024
73201153312313
oct523157750300
9140460125117
1045529157824
1118344028167
1289a7758314
1343a7734a97
1422bca5497a
1512b7115c84
hexa99bfd0c0

45529157824 has 56 divisors (see below), whose sum is σ = 93854418336. Its totient is φ = 21896448000.

The previous prime is 45529157809. The next prime is 45529157867. The reversal of 45529157824 is 42875192554.

It is a happy number.

45529157824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64114 + ... + 308494.

It is an arithmetic number, because the mean of its divisors is an integer number (1675971756).

Almost surely, 245529157824 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 45529157824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46927209168).

45529157824 is an abundant number, since it is smaller than the sum of its proper divisors (48325260512).

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

45529157824 is a wasteful number, since it uses less digits than its factorization.

45529157824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244505 (or 244495 counting only the distinct ones).

The product of its digits is 4032000, while the sum is 52.

The spelling of 45529157824 in words is "forty-five billion, five hundred twenty-nine million, one hundred fifty-seven thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 64 71 82 142 164 284 328 568 656 1136 1312 2272 2624 2911 4544 5822 11644 23288 46576 93152 186304 244381 488762 977524 1955048 3910096 7820192 10019621 15640384 17351051 20039242 34702102 40078484 69404204 80156968 138808408 160313936 277616816 320627872 555233632 641255744 711393091 1110467264 1422786182 2845572364 5691144728 11382289456 22764578912 45529157824