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45152441552296 = 23139714873009991
BaseRepresentation
bin10100100010000110111110…
…01111010100110110101000
312220212112100021201100201001
422101003133033110312220
521404234200014133141
6240010424552204344
712340104410445331
oct1221033717246650
9186775307640631
1045152441552296
11134290521530a1
125092a193996b4
131c26b1a9b5080
14b215659ab288
155347ba550a31
hex2910df3d4da8

45152441552296 has 64 divisors (see below), whose sum is σ = 92175105415680. Its totient is φ = 20610870405120.

The previous prime is 45152441552263. The next prime is 45152441552369. The reversal of 45152441552296 is 69225514425154.

45152441552296 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13495861 + ... + 16505851.

It is an arithmetic number, because the mean of its divisors is an integer number (1440236022120).

Almost surely, 245152441552296 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 45152441552296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46087552707840).

45152441552296 is an abundant number, since it is smaller than the sum of its proper divisors (47022663863384).

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

45152441552296 is a wasteful number, since it uses less digits than its factorization.

45152441552296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011594 (or 3011590 counting only the distinct ones).

The product of its digits is 17280000, while the sum is 55.

The spelling of 45152441552296 in words is "forty-five trillion, one hundred fifty-two billion, four hundred forty-one million, five hundred fifty-two thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 26 52 97 104 194 388 776 1261 1487 2522 2974 5044 5948 10088 11896 19331 38662 77324 144239 154648 288478 576956 1153912 1875107 3009991 3750214 6019982 7500428 12039964 15000856 24079928 39129883 78259766 156519532 291969127 313039064 583938254 1167876508 2335753016 3795598651 4475856617 7591197302 8951713234 15182394604 17903426468 30364789208 35806852936 58186136021 116372272042 232744544084 434158091849 465489088168 868316183698 1736632367396 3473264734792 5644055194037 11288110388074 22576220776148 45152441552296