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204023242320402 = 235916329317776791
BaseRepresentation
bin101110011000111011011100…
…111000100110101000010010
3222202101102122112211222012010
4232120323130320212220102
5203220204100013223102
62001530552243043350
760655123065635661
oct5630733470465022
9882342575758163
10204023242320402
115a00a85346227a
121aa710a3070556
1389ac4033ca80b
143854ac5accdd8
15188c1a5772d6c
hexb98edce26a12

204023242320402 has 128 divisors (see below), whose sum is σ = 419230729451520. Its totient is φ = 66171136066560.

The previous prime is 204023242320257. The next prime is 204023242320409.

204023242320402 is nontrivially palindromic in base 10.

204023242320402 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 204023242320402.

It is not an unprimeable number, because it can be changed into a prime (204023242320409) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30043177627 + ... + 30043184417.

It is an arithmetic number, because the mean of its divisors is an integer number (3275240073840).

Almost surely, 2204023242320402 is an apocalyptic number.

204023242320402 is an abundant number, since it is smaller than the sum of its proper divisors (215207487131118).

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

204023242320402 is a wasteful number, since it uses less digits than its factorization.

204023242320402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9088.

The product of its (nonzero) digits is 36864, while the sum is 30.

The spelling of 204023242320402 in words is "two hundred four trillion, twenty-three billion, two hundred forty-two million, three hundred twenty thousand, four hundred two".

Divisors: 1 2 3 6 59 118 163 177 293 326 354 489 586 879 978 1758 1777 3554 5331 6791 9617 10662 13582 17287 19234 20373 28851 34574 40746 47759 51861 57702 95518 103722 104843 143277 209686 286554 289651 314529 400669 520661 579302 629058 801338 868953 1041322 1106933 1202007 1561983 1737906 1989763 2213866 2404014 2817781 3123966 3320799 3979526 5635562 5969289 6641598 8453343 11938578 12067607 16906686 17089409 24135214 30718999 34178818 36202821 51268227 61437998 65309047 72405642 84867743 92156997 102536454 117396017 130618094 169735486 184313994 195927141 234792034 254603229 324331369 352188051 391854282 509206458 648662738 704376102 711988813 972994107 1423977626 1945988214 1967019941 2135966439 3535808851 3934039882 4271932878 5007196837 5901059823 7071617702 10014393674 10607426553 11802119646 15021590511 19135550771 21214853106 30043181022 38271101542 57406652313 114813304626 116054176519 208612722209 232108353038 348162529557 417225444418 576336842713 625838166627 696325059114 1152673685426 1251676333254 1729010528139 3458021056278 34003873720067 68007747440134 102011621160201 204023242320402