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1745643012 = 2231924131769
BaseRepresentation
bin110100000001100…
…0110011000000100
311111122201212000220
41220003012120010
512033341034022
6445115104340
761154502141
oct15003063004
94448655026
101745643012
11816408483
124087420b0
1321a86a779
14127ba73c8
15a33bc85c
hex680c6604

1745643012 has 48 divisors (see below), whose sum is σ = 4305470400. Its totient is φ = 548951040.

The previous prime is 1745643001. The next prime is 1745643041. The reversal of 1745643012 is 2103465471.

It is a super-3 number, since 3×17456430123 (a number of 29 digits) contains 333 as substring.

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, 39064 + ... + 70832.

It is an arithmetic number, because the mean of its divisors is an integer number (89697300).

Almost surely, 21745643012 is an apocalyptic number.

1745643012 is a gapful number since it is divisible by the number (12) 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 1745643012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152735200).

1745643012 is an abundant number, since it is smaller than the sum of its proper divisors (2559827388).

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

1745643012 is a wasteful number, since it uses less digits than its factorization.

1745643012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32036 (or 32034 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 1745643012 is about 41780.8929057290. The cubic root of 1745643012 is about 1204.0702094428.

The spelling of 1745643012 in words is "one billion, seven hundred forty-five million, six hundred forty-three thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 241 482 723 964 1446 2892 4579 9158 13737 18316 27474 31769 54948 63538 95307 127076 190614 381228 603611 1207222 1810833 2414444 3621666 7243332 7656329 15312658 22968987 30625316 45937974 91875948 145470251 290940502 436410753 581881004 872821506 1745643012