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1938795264 = 2834719237
BaseRepresentation
bin111001110001111…
…1010101100000000
312000010012000010000
41303203322230000
512432312422024
6520215040000
766021326220
oct16343725400
95003160100
101938795264
1190544363a
12461370000
1324b897c43
141456c6080
15b5322cc9
hex738fab00

1938795264 has 540 divisors, whose sum is σ = 7161513744. Its totient is φ = 510603264.

The previous prime is 1938795263. The next prime is 1938795389. The reversal of 1938795264 is 4625978391.

1938795264 is a `hidden beast` number, since 19 + 38 + 79 + 526 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1938795264.

It is not an unprimeable number, because it can be changed into a prime (1938795263) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 52399854 + ... + 52399890.

It is a vampire number, since it can be written as 3729651984 (with its own digits).

Almost surely, 21938795264 is an apocalyptic number.

1938795264 is a gapful number since it is divisible by the number (14) 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 1938795264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580756872).

1938795264 is an abundant number, since it is smaller than the sum of its proper divisors (5222718480).

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

1938795264 is an equidigital number, since it uses as much as digits as its factorization.

1938795264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 68 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 1938795264 is about 44031.7529062834. The cubic root of 1938795264 is about 1246.9354827804.

The spelling of 1938795264 in words is "one billion, nine hundred thirty-eight million, seven hundred ninety-five thousand, two hundred sixty-four".