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2093681412 = 22331031071759
BaseRepresentation
bin111110011001011…
…0000101100000100
312101220122000222000
41330302300230010
513241440301122
6543430505300
7102611666304
oct17462605404
95356560860
102093681412
11984912919
124a5205230
132749b7b54
1415c0c3604
15c3c1a0ac
hex7ccb0b04

2093681412 has 96 divisors (see below), whose sum is σ = 5535129600. Its totient is φ = 684269856.

The previous prime is 2093681389. The next prime is 2093681413. The reversal of 2093681412 is 2141863902.

2093681412 is a `hidden beast` number, since 209 + 36 + 8 + 1 + 412 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2093681413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1189389 + ... + 1191147.

It is an arithmetic number, because the mean of its divisors is an integer number (57657600).

Almost surely, 22093681412 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 2093681412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767564800).

2093681412 is an abundant number, since it is smaller than the sum of its proper divisors (3441448188).

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

2093681412 is a wasteful number, since it uses less digits than its factorization.

2093681412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2093681412 is about 45756.7635656195. The cubic root of 2093681412 is about 1279.2935171996.

The spelling of 2093681412 in words is "two billion, ninety-three million, six hundred eighty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 103 107 108 206 214 309 321 412 428 618 642 927 963 1236 1284 1759 1854 1926 2781 2889 3518 3708 3852 5277 5562 5778 7036 10554 11021 11124 11556 15831 21108 22042 31662 33063 44084 47493 63324 66126 94986 99189 132252 181177 188213 189972 198378 297567 362354 376426 396756 543531 564639 595134 724708 752852 1087062 1129278 1190268 1630593 1693917 2174124 2258556 3261186 3387834 4891779 5081751 6522372 6775668 9783558 10163502 19385939 19567116 20327004 38771878 58157817 77543756 116315634 174473451 232631268 348946902 523420353 697893804 1046840706 2093681412