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2089126824 = 23329101113263
BaseRepresentation
bin111110010000101…
…1000101110101000
312101121001122020120
41330201120232220
513234304024244
6543145123240
7102525166521
oct17441305650
95347048216
102089126824
119822919a4
124a3789520
13273a81a25
1415b659848
15c361a819
hex7c858ba8

2089126824 has 128 divisors (see below), whose sum is σ = 5525625600. Its totient is φ = 657305600.

The previous prime is 2089126801. The next prime is 2089126847. The reversal of 2089126824 is 4286219802.

It is an interprime number because it is at equal distance from previous prime (2089126801) and next prime (2089126847).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7943317 + ... + 7943579.

It is an arithmetic number, because the mean of its divisors is an integer number (43168950).

Almost surely, 22089126824 is an apocalyptic number.

2089126824 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 2089126824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2762812800).

2089126824 is an abundant number, since it is smaller than the sum of its proper divisors (3436498776).

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

2089126824 is a wasteful number, since it uses less digits than its factorization.

2089126824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 2089126824 is about 45706.9669087766. The cubic root of 2089126824 is about 1278.3651866718.

The spelling of 2089126824 in words is "two billion, eighty-nine million, one hundred twenty-six thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 101 113 116 174 202 226 232 263 303 339 348 404 452 526 606 678 696 789 808 904 1052 1212 1356 1578 2104 2424 2712 2929 3156 3277 5858 6312 6554 7627 8787 9831 11413 11716 13108 15254 17574 19662 22826 22881 23432 26216 26563 29719 30508 34239 35148 39324 45652 45762 53126 59438 61016 68478 70296 78648 79689 89157 91304 91524 106252 118876 136956 159378 178314 183048 212504 237752 273912 318756 330977 356628 637512 661954 713256 770327 861851 992931 1323908 1540654 1723702 1985862 2310981 2585553 2647816 3001619 3081308 3447404 3971724 4621962 5171106 6003238 6162616 6894808 7943448 9004857 9243924 10342212 12006476 18009714 18487848 20684424 24012952 36019428 72038856 87046951 174093902 261140853 348187804 522281706 696375608 1044563412 2089126824