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45229253520 = 243511109157177
BaseRepresentation
bin101010000111110111…
…111010001110010000
311022202002211010202210
4222013313322032100
51220112142103040
632440015512120
73160552211613
oct520767721620
9138662733683
1045229253520
11181aa809670
128923228640
13435a56b709
142290ca817a
15129ab25480
hexa87dfa390

45229253520 has 160 divisors (see below), whose sum is σ = 154361370240. Its totient is φ = 10864005120.

The previous prime is 45229253477. The next prime is 45229253527. The reversal of 45229253520 is 2535292254.

It is not an unprimeable number, because it can be changed into a prime (45229253527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209172 + ... + 366348.

It is an arithmetic number, because the mean of its divisors is an integer number (964758564).

Almost surely, 245229253520 is an apocalyptic number.

45229253520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45229253520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77180685120).

45229253520 is an abundant number, since it is smaller than the sum of its proper divisors (109132116720).

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

45229253520 is a wasteful number, since it uses less digits than its factorization.

45229253520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157313 (or 157307 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 45229253520 in words is "forty-five billion, two hundred twenty-nine million, two hundred fifty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 109 110 120 132 165 176 218 220 240 264 327 330 436 440 528 545 654 660 872 880 1090 1199 1308 1320 1635 1744 2180 2398 2616 2640 3270 3597 4360 4796 5232 5995 6540 7194 8720 9592 11990 13080 14388 17985 19184 23980 26160 28776 35970 47960 57552 71940 95920 143880 157177 287760 314354 471531 628708 785885 943062 1257416 1571770 1728947 1886124 2357655 2514832 3143540 3457894 3772248 4715310 5186841 6287080 6915788 7544496 8644735 9430620 10373682 12574160 13831576 17132293 17289470 18861240 20747364 25934205 27663152 34264586 34578940 37722480 41494728 51396879 51868410 68529172 69157880 82989456 85661465 102793758 103736820 137058344 138315760 171322930 188455223 205587516 207473640 256984395 274116688 342645860 376910446 411175032 414947280 513968790 565365669 685291720 753820892 822350064 942276115 1027937580 1130731338 1370583440 1507641784 1884552230 2055875160 2261462676 2826828345 3015283568 3769104460 4111750320 4522925352 5653656690 7538208920 9045850704 11307313380 15076417840 22614626760 45229253520