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20243008296 = 2333722758979
BaseRepresentation
bin10010110110100100…
…111100101100101000
31221020202210100222000
4102312210330230220
5312424202231141
613144405531000
71314432505620
oct226644745450
957222710860
1020243008296
118648717825
123b0b413a60
131ba7b3cb24
14da06a1880
157d726d5b6
hex4b693cb28

20243008296 has 128 divisors (see below), whose sum is σ = 64547712000. Its totient is φ = 5758140096.

The previous prime is 20243008273. The next prime is 20243008297. The reversal of 20243008296 is 69280034202.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20243008296.

It is not an unprimeable number, because it can be changed into a prime (20243008297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313735 + ... + 372713.

It is an arithmetic number, because the mean of its divisors is an integer number (504279000).

Almost surely, 220243008296 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 20243008296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32273856000).

20243008296 is an abundant number, since it is smaller than the sum of its proper divisors (44304703704).

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

20243008296 is a wasteful number, since it uses less digits than its factorization.

20243008296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59228 (or 59218 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 20243008296 in words is "twenty billion, two hundred forty-three million, eight thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 227 252 378 454 504 681 756 908 1362 1512 1589 1816 2043 2724 3178 4086 4767 5448 6129 6356 8172 9534 12258 12712 14301 16344 19068 24516 28602 38136 42903 49032 57204 58979 85806 114408 117958 171612 176937 235916 343224 353874 412853 471832 530811 707748 825706 1061622 1238559 1415496 1592433 1651412 2123244 2477118 3184866 3302824 3715677 4246488 4954236 6369732 7431354 9908472 11147031 12739464 13388233 14862708 22294062 26776466 29725416 40164699 44588124 53552932 80329398 89176248 93717631 107105864 120494097 160658796 187435262 240988194 281152893 321317592 361482291 374870524 481976388 562305786 722964582 749741048 843458679 963952776 1124611572 1445929164 1686917358 2249223144 2530376037 2891858328 3373834716 5060752074 6747669432 10121504148 20243008296