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45787706676 = 22333117976403
BaseRepresentation
bin101010101001001010…
…001111010100110100
311101012000122111111000
4222221022033110310
51222233123103201
633011245243300
73210443041125
oct525112172464
9141160574430
1045787706676
1118466a6a7a8
128a5a263530
13441917b67a
14230511804c
1512ceb87d86
hexaa928f534

45787706676 has 96 divisors (see below), whose sum is σ = 123224371200. Its totient is φ = 14687520480.

The previous prime is 45787706659. The next prime is 45787706677. The reversal of 45787706676 is 67660778754.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45787706677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 561091 + ... + 637493.

It is an arithmetic number, because the mean of its divisors is an integer number (1283587200).

Almost surely, 245787706676 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 45787706676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61612185600).

45787706676 is an abundant number, since it is smaller than the sum of its proper divisors (77436664524).

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

45787706676 is a wasteful number, since it uses less digits than its factorization.

45787706676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76626 (or 76618 counting only the distinct ones).

The product of its (nonzero) digits is 82978560, while the sum is 63.

The spelling of 45787706676 in words is "forty-five billion, seven hundred eighty-seven million, seven hundred six thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 179 186 279 358 372 537 558 716 837 1074 1116 1611 1674 2148 3222 3348 4833 5549 6444 9666 11098 16647 19332 22196 33294 49941 66588 76403 99882 149823 152806 199764 229209 299646 305612 458418 599292 687627 916836 1375254 2062881 2368493 2750508 4125762 4736986 7105479 8251524 9473972 13676137 14210958 21316437 27352274 28421916 41028411 42632874 54704548 63949311 82056822 85265748 123085233 127898622 164113644 246170466 255797244 369255699 423960247 492340932 738511398 847920494 1271880741 1477022796 1695840988 2543761482 3815642223 5087522964 7631284446 11446926669 15262568892 22893853338 45787706676