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20300833188 = 22327179100537
BaseRepresentation
bin10010111010000001…
…100010000110100100
31221101210121011210200
4102322001202012210
5313034003130223
613154233150500
71316034143406
oct227201420644
957353534720
1020300833188
118678322499
123b2685b430
131bb6b07a3c
14da8234b76
157dc391a43
hex4ba0621a4

20300833188 has 72 divisors (see below), whose sum is σ = 52697998080. Its totient is φ = 6587118720.

The previous prime is 20300833177. The next prime is 20300833291. The reversal of 20300833188 is 88133800302.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151656 + ... + 252192.

It is an arithmetic number, because the mean of its divisors is an integer number (731916640).

Almost surely, 220300833188 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 20300833188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26348999040).

20300833188 is an abundant number, since it is smaller than the sum of its proper divisors (32397164892).

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

20300833188 is a wasteful number, since it uses less digits than its factorization.

20300833188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100697 (or 100692 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

It can be divided in two parts, 203008 and 33188, that added together give a square (236196 = 4862).

The spelling of 20300833188 in words is "twenty billion, three hundred million, eight hundred thirty-three thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 71 79 142 158 213 237 284 316 426 474 639 711 852 948 1278 1422 2556 2844 5609 11218 16827 22436 33654 50481 67308 100537 100962 201074 201924 301611 402148 603222 904833 1206444 1809666 3619332 7138127 7942423 14276254 15884846 21414381 23827269 28552508 31769692 42828762 47654538 64243143 71481807 85657524 95309076 128486286 142963614 256972572 285927228 563912033 1127824066 1691736099 2255648132 3383472198 5075208297 6766944396 10150416594 20300833188