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2166989376 = 26353613491
BaseRepresentation
bin1000000100101001…
…1010001001000000
312121000120110120210
42001022122021000
513414222130001
6555010034120
7104462051166
oct20112321100
95530513523
102166989376
11a12233212
12505878940
13286c44246
14167b27236
15ca39add6
hex8129a240

2166989376 has 112 divisors (see below), whose sum is σ = 5939137728. Its totient is φ = 696883200.

The previous prime is 2166989351. The next prime is 2166989381. The reversal of 2166989376 is 6739896612.

It is a happy 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, 618991 + ... + 622481.

Almost surely, 22166989376 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 2166989376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969568864).

2166989376 is an abundant number, since it is smaller than the sum of its proper divisors (3772148352).

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

2166989376 is a wasteful number, since it uses less digits than its factorization.

2166989376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620 (or 3610 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 57.

The square root of 2166989376 is about 46550.9331378008. The cubic root of 2166989376 is about 1294.0535863723.

The spelling of 2166989376 in words is "two billion, one hundred sixty-six million, nine hundred eighty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 61 64 96 106 122 159 183 192 212 244 318 366 424 488 636 732 848 976 1272 1464 1696 1952 2544 2928 3233 3392 3491 3904 5088 5856 6466 6982 9699 10176 10473 11712 12932 13964 19398 20946 25864 27928 38796 41892 51728 55856 77592 83784 103456 111712 155184 167568 185023 206912 212951 223424 310368 335136 370046 425902 555069 620736 638853 670272 740092 851804 1110138 1277706 1480184 1703608 2220276 2555412 2960368 3407216 4440552 5110824 5920736 6814432 8881104 10221648 11286403 11841472 13628864 17762208 20443296 22572806 33859209 35524416 40886592 45145612 67718418 90291224 135436836 180582448 270873672 361164896 541747344 722329792 1083494688 2166989376