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1944958068 = 223410955073
BaseRepresentation
bin111001111101101…
…1011010001110100
312000112210002220000
41303323123101310
512440402124233
6520555111300
766124604454
oct16373332164
95015702800
101944958068
11908972869
12463442530
1324cc45081
1414644bd64
15b5b3dd13
hex73edb474

1944958068 has 60 divisors (see below), whose sum is σ = 5131244580. Its totient is φ = 642359808.

The previous prime is 1944958061. The next prime is 1944958091. The reversal of 1944958068 is 8608594491.

1944958068 is a `hidden beast` number, since 1 + 94 + 495 + 8 + 0 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1634423184 + 310534884 = 40428^2 + 17622^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1944958061) 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 19 ways as a sum of consecutive naturals, for example, 7780 + ... + 62852.

It is an arithmetic number, because the mean of its divisors is an integer number (85520743).

Almost surely, 21944958068 is an apocalyptic number.

1944958068 is a gapful number since it is divisible by the number (18) 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 1944958068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2565622290).

1944958068 is an abundant number, since it is smaller than the sum of its proper divisors (3186286512).

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

1944958068 is a wasteful number, since it uses less digits than its factorization.

1944958068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55198 (or 55187 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 1944958068 is about 44101.6787435581. The cubic root of 1944958068 is about 1248.2552870878.

The spelling of 1944958068 in words is "one billion, nine hundred forty-four million, nine hundred fifty-eight thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 109 162 218 324 327 436 654 981 1308 1962 2943 3924 5886 8829 11772 17658 35316 55073 110146 165219 220292 330438 495657 660876 991314 1486971 1982628 2973942 4460913 5947884 6002957 8921826 12005914 17843652 18008871 24011828 36017742 54026613 72035484 108053226 162079839 216106452 324159678 486239517 648319356 972479034 1944958068