Search a number
-
+
20272349152 = 2511257277809
BaseRepresentation
bin10010111000010100…
…110111111111100000
31221022211000001001101
4102320110313333200
5313004210133102
613151334444144
71315240060516
oct227024677740
957284001041
1020272349152
118663237a70
123b19203654
131bb0c43a93
14da453c4b6
157d9b16e87
hex4b8537fe0

20272349152 has 96 divisors (see below), whose sum is σ = 43920908640. Its totient is φ = 9134407680.

The previous prime is 20272349137. The next prime is 20272349177. The reversal of 20272349152 is 25194327202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25058124 + ... + 25058932.

It is an arithmetic number, because the mean of its divisors is an integer number (457509465).

Almost surely, 220272349152 is an apocalyptic number.

20272349152 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 20272349152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21960454320).

20272349152 is an abundant number, since it is smaller than the sum of its proper divisors (23648559488).

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

20272349152 is a wasteful number, since it uses less digits than its factorization.

20272349152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 20272349152 in words is "twenty billion, two hundred seventy-two million, three hundred forty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 257 277 352 514 554 809 1028 1108 1618 2056 2216 2827 3047 3236 4112 4432 5654 6094 6472 8224 8864 8899 11308 12188 12944 17798 22616 24376 25888 35596 45232 48752 71189 71192 90464 97504 142378 142384 207913 224093 284756 284768 415826 448186 569512 783079 831652 896372 1139024 1566158 1663304 1792744 2278048 2287043 2465023 3132316 3326608 3585488 4574086 4930046 6264632 6653216 7170976 9148172 9860092 12529264 18296344 19720184 25058528 36592688 39440368 57591901 73185376 78880736 115183802 230367604 460735208 633510911 921470416 1267021822 1842940832 2534043644 5068087288 10136174576 20272349152