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1945663146 = 233725120507
BaseRepresentation
bin111001111111000…
…0111011010101010
312000121002221002000
41303332013122222
512441042210041
6521022151430
766133602210
oct16376073252
95017087060
101945663146
11909304579
12463722576
13250130c8b
14146592cb0
15b5c2cbb6
hex73f876aa

1945663146 has 64 divisors (see below), whose sum is σ = 4961295360. Its totient is φ = 553662000.

The previous prime is 1945663133. The next prime is 1945663147. The reversal of 1945663146 is 6413665491.

1945663146 is a `hidden beast` number, since 1 + 9 + 4 + 5 + 6 + 631 + 4 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (1945663147) 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, 84625 + ... + 105131.

It is an arithmetic number, because the mean of its divisors is an integer number (77520240).

Almost surely, 21945663146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1945663146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480647680).

1945663146 is an abundant number, since it is smaller than the sum of its proper divisors (3015632214).

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

1945663146 is a wasteful number, since it uses less digits than its factorization.

1945663146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20776 (or 20770 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 1945663146 is about 44109.6717965573. The cubic root of 1945663146 is about 1248.4061062794.

The spelling of 1945663146 in words is "one billion, nine hundred forty-five million, six hundred sixty-three thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 251 378 502 753 1506 1757 2259 3514 4518 5271 6777 10542 13554 15813 20507 31626 41014 47439 61521 94878 123042 143549 184563 287098 369126 430647 553689 861294 1107378 1291941 2583882 3875823 5147257 7751646 10294514 15441771 30883542 36030799 46325313 72061598 92650626 108092397 138975939 216184794 277951878 324277191 648554382 972831573 1945663146