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20121177792 = 263375353441
BaseRepresentation
bin10010101111010100…
…001100111011000000
31220221021112201221010
4102233110030323000
5312202010142132
613124334400520
71311423121632
oct225724147300
956837481833
1020121177792
118595975761
123a96660140
131b88824981
14d8c42aa52
157cb7056cc
hex4af50cec0

20121177792 has 112 divisors (see below), whose sum is σ = 55708795872. Its totient is φ = 6402539520.

The previous prime is 20121177779. The next prime is 20121177809. The reversal of 20121177792 is 29777112102.

It is a super-3 number, since 3×201211777923 (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20121177792.

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, 349792 + ... + 403232.

Almost surely, 220121177792 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 20121177792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27854397936).

20121177792 is an abundant number, since it is smaller than the sum of its proper divisors (35587618080).

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

20121177792 is a wasteful number, since it uses less digits than its factorization.

20121177792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53546 (or 53536 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 39.

Adding to 20121177792 its reverse (29777112102), we get a palindrome (49898289894).

The spelling of 20121177792 in words is "twenty billion, one hundred twenty-one million, one hundred seventy-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 53 64 74 96 106 111 148 159 192 212 222 296 318 424 444 592 636 848 888 1184 1272 1696 1776 1961 2368 2544 3392 3552 3922 5088 5883 7104 7844 10176 11766 15688 23532 31376 47064 53441 62752 94128 106882 125504 160323 188256 213764 320646 376512 427528 641292 855056 1282584 1710112 1977317 2565168 2832373 3420224 3954634 5130336 5664746 5931951 7909268 8497119 10260672 11329492 11863902 15818536 16994238 22658984 23727804 31637072 33988476 45317968 47455608 63274144 67976952 90635936 94911216 104797801 126548288 135953904 181271872 189822432 209595602 271907808 314393403 379644864 419191204 543815616 628786806 838382408 1257573612 1676764816 2515147224 3353529632 5030294448 6707059264 10060588896 20121177792