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20753099208 = 23331396771021
BaseRepresentation
bin10011010100111110…
…110010100111001000
31222120022121200011000
4103110332302213020
5320000243133313
613311150535000
71333165301262
oct232476624710
958508550130
1020753099208
11888a646666
124032207460
131c59718c7a
14100c322b32
15816e2b673
hex4d4fb29c8

20753099208 has 128 divisors (see below), whose sum is σ = 58204944000. Its totient is φ = 6851070720.

The previous prime is 20753099179. The next prime is 20753099209. The reversal of 20753099208 is 80299035702.

20753099208 is a `hidden beast` number, since 2 + 0 + 7 + 530 + 99 + 20 + 8 = 666.

It is a super-2 number, since 2×207530992082 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20753099209) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20325738 + ... + 20326758.

It is an arithmetic number, because the mean of its divisors is an integer number (454726125).

Almost surely, 220753099208 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 20753099208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29102472000).

20753099208 is an abundant number, since it is smaller than the sum of its proper divisors (37451844792).

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

20753099208 is a wasteful number, since it uses less digits than its factorization.

20753099208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 20753099208 in words is "twenty billion, seven hundred fifty-three million, ninety-nine thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 139 216 278 417 556 677 834 1021 1112 1251 1354 1668 2031 2042 2502 2708 3063 3336 3753 4062 4084 5004 5416 6093 6126 7506 8124 8168 9189 10008 12186 12252 15012 16248 18279 18378 24372 24504 27567 30024 36558 36756 48744 55134 73116 73512 94103 110268 141919 146232 188206 220536 282309 283838 376412 425757 564618 567676 691217 752824 846927 851514 1129236 1135352 1277271 1382434 1693854 1703028 2073651 2258472 2540781 2554542 2764868 3387708 3406056 3831813 4147302 5081562 5109084 5529736 6220953 6775416 7663626 8294604 10163124 10218168 12441906 15327252 16589208 18662859 20326248 24883812 30654504 37325718 49767624 74651436 96079163 149302872 192158326 288237489 384316652 576474978 768633304 864712467 1152949956 1729424934 2305899912 2594137401 3458849868 5188274802 6917699736 10376549604 20753099208