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2036993994 = 234745237
BaseRepresentation
bin111100101101010…
…0000111111001010
312020221222000110000
41321122200333022
513132432301434
6534043503430
7101323110000
oct17132407712
95227860400
102036993994
11955914812
1248a227b76
1326602a8b9
14154768a70
15bdc6db99
hex796a0fca

2036993994 has 100 divisors (see below), whose sum is σ = 5325804594. Its totient is φ = 581887152.

The previous prime is 2036993977. The next prime is 2036993999. The reversal of 2036993994 is 4993996302.

It can be written as a sum of positive squares in only one way, i.e., 1405125225 + 631868769 = 37485^2 + 25137^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 2036993994.

It is not an unprimeable number, because it can be changed into a prime (2036993999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 386344 + ... + 391580.

Almost surely, 22036993994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2036993994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2662902297).

2036993994 is an abundant number, since it is smaller than the sum of its proper divisors (3288810600).

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

2036993994 is an frugal number, since it uses more digits than its factorization.

2036993994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5279 (or 5249 counting only the distinct ones).

The product of its (nonzero) digits is 2834352, while the sum is 54.

The square root of 2036993994 is about 45133.0698490586. The cubic root of 2036993994 is about 1267.6418916114.

The spelling of 2036993994 in words is "two billion, thirty-six million, nine hundred ninety-three thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 343 378 441 567 686 882 1029 1134 1323 2058 2401 2646 3087 3969 4802 5237 6174 7203 7938 9261 10474 14406 15711 18522 21609 27783 31422 36659 43218 47133 55566 64827 73318 94266 109977 129654 141399 194481 219954 256613 282798 329931 388962 424197 513226 659862 769839 848394 989793 1539678 1796291 1979586 2309517 2969379 3592582 4619034 5388873 5938758 6928551 10777746 12574037 13857102 16166619 20785653 25148074 32333238 37722111 41571306 48499857 75444222 96999714 113166333 145499571 226332666 290999142 339498999 678997998 1018496997 2036993994