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1868074944 = 26337439599
BaseRepresentation
bin110111101011000…
…1000111111000000
311211012010001001220
41233112020333000
512311211344234
6505211155040
764202242431
oct15726107700
94735101056
101868074944
1187953039a
12441745a80
1323a0365b8
1413a157488
15ae003a49
hex6f588fc0

1868074944 has 112 divisors (see below), whose sum is σ = 5096256000. Its totient is φ = 603472896.

The previous prime is 1868074931. The next prime is 1868074951. The reversal of 1868074944 is 4494708681.

It is a congruent number.

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, 3118357 + ... + 3118955.

Almost surely, 21868074944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1868074944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548128000).

1868074944 is an abundant number, since it is smaller than the sum of its proper divisors (3228181056).

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

1868074944 is a wasteful number, since it uses less digits than its factorization.

1868074944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The square root of 1868074944 is about 43221.2325599352. The cubic root of 1868074944 is about 1231.5860615327.

The spelling of 1868074944 in words is "one billion, eight hundred sixty-eight million, seventy-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 439 444 592 599 878 888 1184 1198 1317 1756 1776 1797 2368 2396 2634 3512 3552 3594 4792 5268 7024 7104 7188 9584 10536 14048 14376 16243 19168 21072 22163 28096 28752 32486 38336 42144 44326 48729 57504 64972 66489 84288 88652 97458 115008 129944 132978 177304 194916 259888 262961 265956 354608 389832 519776 525922 531912 709216 779664 788883 1039552 1051844 1063824 1418432 1559328 1577766 2103688 2127648 3118656 3155532 4207376 4255296 6311064 8414752 9729557 12622128 16829504 19459114 25244256 29188671 38918228 50488512 58377342 77836456 116754684 155672912 233509368 311345824 467018736 622691648 934037472 1868074944