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2089963944 = 233437611429
BaseRepresentation
bin111110010010010…
…0101000110101000
312101122122011120000
41330210211012220
513240012321234
6543215103000
7102535254225
oct17444450650
95348564500
102089963944
11982803932
124a3b11a60
13273cb5a73
1415b7d694c
15c3733899
hex7c9251a8

2089963944 has 160 divisors (see below), whose sum is σ = 6114880200. Its totient is φ = 666247680.

The previous prime is 2089963937. The next prime is 2089963951. The reversal of 2089963944 is 4493699802.

It is an interprime number because it is at equal distance from previous prime (2089963937) and next prime (2089963951).

It can be written as a sum of positive squares in 4 ways, for example, as 1163492100 + 926471844 = 34110^2 + 30438^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1461822 + ... + 1463250.

Almost surely, 22089963944 is an apocalyptic number.

2089963944 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 2089963944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3057440100).

2089963944 is an abundant number, since it is smaller than the sum of its proper divisors (4024916256).

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

2089963944 is a wasteful number, since it uses less digits than its factorization.

2089963944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 2089963944 is about 45716.1234577036. The cubic root of 2089963944 is about 1278.5359122508.

The spelling of 2089963944 in words is "two billion, eighty-nine million, nine hundred sixty-three thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 61 72 74 81 108 111 122 148 162 183 216 222 244 296 324 333 366 444 488 549 648 666 732 888 999 1098 1332 1429 1464 1647 1998 2196 2257 2664 2858 2997 3294 3996 4287 4392 4514 4941 5716 5994 6588 6771 7992 8574 9028 9882 11432 11988 12861 13176 13542 17148 18056 19764 20313 23976 25722 27084 34296 38583 39528 40626 51444 52873 54168 60939 77166 81252 87169 102888 105746 115749 121878 154332 158619 162504 174338 182817 211492 231498 243756 261507 308664 317238 348676 365634 422984 462996 475857 487512 523014 634476 697352 731268 784521 925992 951714 1046028 1268952 1427571 1462536 1569042 1903428 2092056 2353563 2855142 3138084 3225253 3806856 4282713 4707126 5710284 6276168 6450506 7060689 8565426 9414252 9675759 11420568 12901012 14121378 17130852 18828504 19351518 25802024 28242756 29027277 34261704 38703036 56485512 58054554 77406072 87081831 116109108 174163662 232218216 261245493 348327324 522490986 696654648 1044981972 2089963944