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2045913144 = 2331117455863
BaseRepresentation
bin111100111110010…
…0010100000111000
312021120202011012220
41321330202200320
513142223210034
6535003004040
7101461655232
oct17174424070
95246664186
102045913144
1195a956910
12491209620
13267b314c2
14155a0b252
15be931749
hex79f22838

2045913144 has 64 divisors (see below), whose sum is σ = 5907997440. Its totient is φ = 583503360.

The previous prime is 2045913137. The next prime is 2045913157. The reversal of 2045913144 is 4413195402.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223444 + ... + 232419.

It is an arithmetic number, because the mean of its divisors is an integer number (92312460).

Almost surely, 22045913144 is an apocalyptic number.

2045913144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2045913144 is an abundant number, since it is smaller than the sum of its proper divisors (3862084296).

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

2045913144 is a wasteful number, since it uses less digits than its factorization.

2045913144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455900 (or 455896 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 2045913144 is about 45231.7714002005. The cubic root of 2045913144 is about 1269.4893567799.

The spelling of 2045913144 in words is "two billion, forty-five million, nine hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 4488 455863 911726 1367589 1823452 2735178 3646904 5014493 5470356 7749671 10028986 10940712 15043479 15499342 20057972 23249013 30086958 30998684 40115944 46498026 60173916 61997368 85246381 92996052 120347832 170492762 185992104 255739143 340985524 511478286 681971048 1022956572 2045913144