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2093666976 = 2532101167431
BaseRepresentation
bin111110011001010…
…1101001010100000
312101220121022011100
41330302231022200
513241434320401
6543430314400
7102611606232
oct17462551240
95356538140
102093666976
11984902a95
124a51b8a00
132749b13cb
1415c0bc252
15c3c15b86
hex7ccad2a0

2093666976 has 144 divisors (see below), whose sum is σ = 6062853888. Its totient is φ = 685248000.

The previous prime is 2093666969. The next prime is 2093666989. The reversal of 2093666976 is 6796663902.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4857481 + ... + 4857911.

It is an arithmetic number, because the mean of its divisors is an integer number (42103152).

Almost surely, 22093666976 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 2093666976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3031426944).

2093666976 is an abundant number, since it is smaller than the sum of its proper divisors (3969186912).

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

2093666976 is a wasteful number, since it uses less digits than its factorization.

2093666976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The square root of 2093666976 is about 45756.6058181767. The cubic root of 2093666976 is about 1279.2905769364.

The spelling of 2093666976 in words is "two billion, ninety-three million, six hundred sixty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 101 144 167 202 288 303 334 404 431 501 606 668 808 862 909 1002 1212 1293 1336 1503 1616 1724 1818 2004 2424 2586 2672 3006 3232 3448 3636 3879 4008 4848 5172 5344 6012 6896 7272 7758 8016 9696 10344 12024 13792 14544 15516 16032 16867 20688 24048 29088 31032 33734 41376 43531 48096 50601 62064 67468 71977 87062 101202 124128 130593 134936 143954 151803 174124 202404 215931 261186 269872 287908 303606 348248 391779 404808 431862 522372 539744 575816 607212 647793 696496 783558 809616 863724 1044744 1151632 1214424 1295586 1392992 1567116 1619232 1727448 2089488 2303264 2428848 2591172 3134232 3454896 4178976 4857696 5182344 6268464 6909792 7269677 10364688 12536928 14539354 20729376 21809031 29078708 43618062 58157416 65427093 87236124 116314832 130854186 174472248 232629664 261708372 348944496 523416744 697888992 1046833488 2093666976