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20061779680 = 2551036171973
BaseRepresentation
bin10010101011110001…
…100111011011100000
31220210010210000001001
4102223301213123200
5312041303422210
613114413321344
71310102212405
oct225361473340
956703700031
1020061779680
118565396008
123a7a796254
131b79428967
14d845a82ac
157c63c103a
hex4abc676e0

20061779680 has 96 divisors (see below), whose sum is σ = 47957966784. Its totient is φ = 7929901056.

The previous prime is 20061779677. The next prime is 20061779701. The reversal of 20061779680 is 8697716002.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20061779680.

It is a congruent 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, 10167174 + ... + 10169146.

It is an arithmetic number, because the mean of its divisors is an integer number (499562154).

Almost surely, 220061779680 is an apocalyptic number.

20061779680 is a gapful number since it is divisible by the number (20) 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 20061779680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23978983392).

20061779680 is an abundant number, since it is smaller than the sum of its proper divisors (27896187104).

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

20061779680 is a wasteful number, since it uses less digits than its factorization.

20061779680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2708 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 46.

The spelling of 20061779680 in words is "twenty billion, sixty-one million, seven hundred seventy-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 103 160 206 412 515 617 824 1030 1234 1648 1973 2060 2468 3085 3296 3946 4120 4936 6170 7892 8240 9865 9872 12340 15784 16480 19730 19744 24680 31568 39460 49360 63136 63551 78920 98720 127102 157840 203219 254204 315680 317755 406438 508408 635510 812876 1016095 1016816 1217341 1271020 1625752 2032190 2033632 2434682 2542040 3251504 4064380 4869364 5084080 6086705 6503008 8128760 9738728 10168160 12173410 16257520 19477456 24346820 32515040 38954912 48693640 97387280 125386123 194774560 250772246 501544492 626930615 1003088984 1253861230 2006177968 2507722460 4012355936 5015444920 10030889840 20061779680