Search a number
-
+
45890799159296 = 211713246237547
BaseRepresentation
bin10100110111100110010001…
…10010000100100000000000
320000111010011200211002022002
422123303020302010200000
522003333324041044141
6241333535254203132
712444333532530020
oct1233631062044000
9200433150732262
1045890799159296
11136931a6833643
125191b3b9534a8
131c7b639b77990
14b491ab2b1a80
15548ad1d19e9b
hex29bcc8c84800

45890799159296 has 96 divisors (see below), whose sum is σ = 112934389014720. Its totient is φ = 18154601791488.

The previous prime is 45890799159281. The next prime is 45890799159299. The reversal of 45890799159296 is 69295199709854.

It is a super-3 number, since 3×458907991592963 (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (45890799159299) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122932406 + ... + 123305141.

It is an arithmetic number, because the mean of its divisors is an integer number (1176399885570).

Almost surely, 245890799159296 is an apocalyptic number.

It is an amenable number.

45890799159296 is an abundant number, since it is smaller than the sum of its proper divisors (67043589855424).

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

45890799159296 is a wasteful number, since it uses less digits than its factorization.

45890799159296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246237589 (or 246237569 counting only the distinct ones).

The product of its (nonzero) digits is 3968092800, while the sum is 83.

The spelling of 45890799159296 in words is "forty-five trillion, eight hundred ninety billion, seven hundred ninety-nine million, one hundred fifty-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 832 896 1024 1456 1664 1792 2048 2912 3328 3584 5824 6656 7168 11648 13312 14336 23296 26624 46592 93184 186368 246237547 492475094 984950188 1723662829 1969900376 3201088111 3447325658 3939800752 6402176222 6894651316 7879601504 12804352444 13789302632 15759203008 22407616777 25608704888 27578605264 31518406016 44815233554 51217409776 55157210528 63036812032 89630467108 102434819552 110314421056 126073624064 179260934216 204869639104 220628842112 252147248128 358521868432 409739278208 441257684224 504294496256 717043736864 819478556416 882515368448 1434087473728 1638957112832 1765030736896 2868174947456 3277914225664 3530061473792 5736349894912 6555828451328 11472699789824 22945399579648 45890799159296