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20245695184 = 24111347593191
BaseRepresentation
bin10010110110101111…
…001100101011010000
31221020221211212200101
4102312233030223100
5312430344221214
613144543302144
71314464366251
oct226657145320
957227755611
1020245695184
11864a1924a0
123b102aa954
131ba8570ac0
14da0ba0b28
157d75ee774
hex4b6bccad0

20245695184 has 160 divisors (see below), whose sum is σ = 47876935680. Its totient is φ = 8170483200.

The previous prime is 20245695181. The next prime is 20245695229. The reversal of 20245695184 is 48159654202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20245695181) 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, 6343029 + ... + 6346219.

It is an arithmetic number, because the mean of its divisors is an integer number (299230848).

Almost surely, 220245695184 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 20245695184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23938467840).

20245695184 is an abundant number, since it is smaller than the sum of its proper divisors (27631240496).

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

20245695184 is a wasteful number, since it uses less digits than its factorization.

20245695184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3329 (or 3323 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 46.

The spelling of 20245695184 in words is "twenty billion, two hundred forty-five million, six hundred ninety-five thousand, one hundred eighty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 47 52 59 88 94 104 118 143 176 188 208 236 286 376 472 517 572 611 649 752 767 944 1034 1144 1222 1298 1534 2068 2288 2444 2596 2773 3068 3191 4136 4888 5192 5546 6136 6382 6721 8272 8437 9776 10384 11092 12272 12764 13442 16874 22184 25528 26884 30503 33748 35101 36049 41483 44368 51056 53768 61006 67496 70202 72098 82966 107536 122012 134992 140404 144196 149977 165932 188269 244024 280808 288392 299954 331864 376538 396539 456313 488048 561616 576784 599908 663728 753076 793078 912626 1199816 1506152 1586156 1649747 1825252 1949701 2070959 2399632 2447497 3012304 3172312 3299494 3650504 3899402 4141918 4894994 6344624 6598988 7301008 7798804 8283836 8848643 9789988 13197976 15597608 16567672 17697286 19579976 21446711 26395952 26922467 31195216 33135344 35394572 39159952 42893422 53844934 70789144 85786844 97335073 107689868 115032359 141578288 171573688 194670146 215379736 230064718 343147376 389340292 430759472 460129436 778680584 920258872 1265355949 1557361168 1840517744 2530711898 5061423796 10122847592 20245695184