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45246852768 = 25313174720753
BaseRepresentation
bin101010001000111011…
…000010111010100000
311022210022221021101210
4222020323002322200
51220131143242033
632441445030120
73161154621435
oct521073027240
9138708837353
1045246852768
111820973a1a7
1289290b5340
1343610c1180
142293369b8c
15129c44ed63
hexa88ec2ea0

45246852768 has 96 divisors (see below), whose sum is σ = 127988755776. Its totient is φ = 13913468928.

The previous prime is 45246852743. The next prime is 45246852793. The reversal of 45246852768 is 86725864254.

It is an interprime number because it is at equal distance from previous prime (45246852743) and next prime (45246852793).

It is a tau number, because it is divible by the number of its divisors (96).

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, 2169880 + ... + 2190632.

It is an arithmetic number, because the mean of its divisors is an integer number (1333216206).

Almost surely, 245246852768 is an apocalyptic number.

45246852768 is a gapful number since it is divisible by the number (48) 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 45246852768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63994377888).

45246852768 is an abundant number, since it is smaller than the sum of its proper divisors (82741903008).

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

45246852768 is a wasteful number, since it uses less digits than its factorization.

45246852768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22526 (or 22518 counting only the distinct ones).

The product of its digits is 25804800, while the sum is 57.

The spelling of 45246852768 in words is "forty-five billion, two hundred forty-six million, eight hundred fifty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1747 3494 5241 6988 10482 13976 20753 20964 22711 27952 41506 41928 45422 55904 62259 68133 83012 83856 90844 124518 136266 166024 167712 181688 249036 269789 272532 332048 363376 498072 539578 545064 664096 726752 809367 996144 1079156 1090128 1618734 1992288 2158312 2180256 3237468 4316624 6474936 8633248 12949872 25899744 36255491 72510982 108766473 145021964 217532946 290043928 435065892 471321383 580087856 870131784 942642766 1160175712 1413964149 1740263568 1885285532 2827928298 3480527136 3770571064 5655856596 7541142128 11311713192 15082284256 22623426384 45246852768