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2085160944 = 243417114923
BaseRepresentation
bin111110001001001…
…0000011111110000
312101022121011002010
41330102100133300
513232300122234
6542524122520
7102446401266
oct17422203760
95338534063
102085160944
11980023309
124a2396440
13272cc3859
1415ad06436
15c30d56e9
hex7c4907f0

2085160944 has 80 divisors (see below), whose sum is σ = 5596141824. Its totient is φ = 668505600.

The previous prime is 2085160919. The next prime is 2085160951. The reversal of 2085160944 is 4490615802.

It is a super-2 number, since 2×20851609442 = 8695792324765942272, which contains 22 as substring.

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, 132267 + ... + 147189.

Almost surely, 22085160944 is an apocalyptic number.

2085160944 is a gapful number since it is divisible by the number (24) 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 2085160944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798070912).

2085160944 is an abundant number, since it is smaller than the sum of its proper divisors (3510980880).

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

2085160944 is a wasteful number, since it uses less digits than its factorization.

2085160944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15046 (or 15040 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 2085160944 is about 45663.5625417028. The cubic root of 2085160944 is about 1277.5557489110. Note that the first 3 decimals are identical.

The spelling of 2085160944 in words is "two billion, eighty-five million, one hundred sixty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 71 82 123 142 164 213 246 284 328 426 492 568 656 852 984 1136 1704 1968 2911 3408 5822 8733 11644 14923 17466 23288 29846 34932 44769 46576 59692 69864 89538 119384 139728 179076 238768 358152 611843 716304 1059533 1223686 1835529 2119066 2447372 3178599 3671058 4238132 4894744 6357198 7342116 8476264 9789488 12714396 14684232 16952528 25428792 29368464 43440853 50857584 86881706 130322559 173763412 260645118 347526824 521290236 695053648 1042580472 2085160944