Search a number
-
+
20199681612 = 22331131354323
BaseRepresentation
bin10010110011111111…
…101010111001001100
31221010202021010221000
4102303333222321030
5312332104302422
613140221140300
71313365314015
oct226377527114
957122233830
1020199681612
118626214850
123ab89ba690
131b9bb80036
14d98a2400c
157d3560cac
hex4b3feae4c

20199681612 has 96 divisors (see below), whose sum is σ = 57313992960. Its totient is φ = 6101447040.

The previous prime is 20199681563. The next prime is 20199681647. The reversal of 20199681612 is 21618699102.

20199681612 is a `hidden beast` number, since 20 + 1 + 9 + 9 + 6 + 8 + 1 + 612 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344683 + ... + 399005.

It is an arithmetic number, because the mean of its divisors is an integer number (597020760).

Almost surely, 220199681612 is an apocalyptic number.

20199681612 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20199681612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28656996480).

20199681612 is an abundant number, since it is smaller than the sum of its proper divisors (37114311348).

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

20199681612 is a wasteful number, since it uses less digits than its factorization.

20199681612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54660 (or 54652 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 20199681612 in words is "twenty billion, one hundred ninety-nine million, six hundred eighty-one thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 313 396 594 626 939 1188 1252 1878 2817 3443 3756 5634 6886 8451 10329 11268 13772 16902 20658 30987 33804 41316 54323 61974 92961 108646 123948 162969 185922 217292 325938 371844 488907 597553 651876 977814 1195106 1466721 1792659 1955628 2390212 2933442 3585318 5377977 5866884 7170636 10755954 16133931 17003099 21511908 32267862 34006198 51009297 64535724 68012396 102018594 153027891 187034089 204037188 306055782 374068178 459083673 561102267 612111564 748136356 918167346 1122204534 1683306801 1836334692 2244409068 3366613602 5049920403 6733227204 10099840806 20199681612