Search a number
-
+
20219653792 = 25131011513187
BaseRepresentation
bin10010110101001011…
…110110111010100000
31221012010211211121101
4102311023312322200
5312402212410132
613142213204144
71314030135652
oct226513667240
957163754541
1020219653792
118636516188
123b03630654
131ba30538b0
14d9b5426d2
157d51a87e7
hex4b52f6ea0

20219653792 has 96 divisors (see below), whose sum is σ = 43594395264. Its totient is φ = 9175680000.

The previous prime is 20219653781. The next prime is 20219653813. The reversal of 20219653792 is 29735691202.

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, 6342823 + ... + 6346009.

It is an arithmetic number, because the mean of its divisors is an integer number (454108284).

Almost surely, 220219653792 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 20219653792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21797197632).

20219653792 is an abundant number, since it is smaller than the sum of its proper divisors (23374741472).

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

20219653792 is a wasteful number, since it uses less digits than its factorization.

20219653792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3462 (or 3454 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 46.

The spelling of 20219653792 in words is "twenty billion, two hundred nineteen million, six hundred fifty-three thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 101 104 151 202 208 302 404 416 604 808 1208 1313 1616 1963 2416 2626 3187 3232 3926 4832 5252 6374 7852 10504 12748 15251 15704 21008 25496 30502 31408 41431 42016 50992 61004 62816 82862 101984 122008 165724 198263 244016 321887 331448 396526 481237 488032 643774 662896 793052 962474 1287548 1325792 1586104 1924948 2575096 3172208 3849896 4184531 5150192 6256081 6344416 7699792 8369062 10300384 12512162 15399584 16738124 25024324 33476248 48604937 50048648 66952496 97209874 100097296 133904992 194419748 200194592 388839496 631864181 777678992 1263728362 1555357984 2527456724 5054913448 10109826896 20219653792