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2136719412 = 22362331859
BaseRepresentation
bin111111101011011…
…1100000000110100
312111220121121000000
41333112330000310
513334000010122
6552005151300
7103643546442
oct17726740064
95456547000
102136719412
119a7138a13
124b76bb530
132808a6419
14163ac7b92
15c78bc0ac
hex7f5bc034

2136719412 has 84 divisors (see below), whose sum is σ = 5850260640. Its totient is φ = 681251472.

The previous prime is 2136719383. The next prime is 2136719419. The reversal of 2136719412 is 2149176312.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136719419) 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 27 ways as a sum of consecutive naturals, for example, 51139 + ... + 82997.

It is an arithmetic number, because the mean of its divisors is an integer number (69645960).

Almost surely, 22136719412 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 2136719412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925130320).

2136719412 is an abundant number, since it is smaller than the sum of its proper divisors (3713541228).

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

2136719412 is a wasteful number, since it uses less digits than its factorization.

2136719412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31904 (or 31887 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 2136719412 is about 46224.6623784317. The cubic root of 2136719412 is about 1287.9999075717. Note that the first 4 decimals are identical.

The spelling of 2136719412 in words is "two billion, one hundred thirty-six million, seven hundred nineteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 243 276 324 414 486 621 729 828 972 1242 1458 1863 2484 2916 3726 5589 7452 11178 16767 22356 31859 33534 63718 67068 95577 127436 191154 286731 382308 573462 732757 860193 1146924 1465514 1720386 2198271 2580579 2931028 3440772 4396542 5161158 6594813 7741737 8793084 10322316 13189626 15483474 19784439 23225211 26379252 30966948 39568878 46450422 59353317 79137756 92900844 118706634 178059951 237413268 356119902 534179853 712239804 1068359706 2136719412