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202342309483904 = 2716710918676319
BaseRepresentation
bin101110000000011101111101…
…011110101101010110000000
3222112102201212110011102002222
4232000131331132231112000
5203010134022211441104
61554202435042430212
760422515025400242
oct5600357536552600
9875381773142088
10202342309483904
1159521989717957
121a83b366062368
1388b9a4b01a215
1437d75c4800092
15185d5c3d591be
hexb8077d7ad580

202342309483904 has 64 divisors (see below), whose sum is σ = 405889355289600. Its totient is φ = 100473150650880.

The previous prime is 202342309483901. The next prime is 202342309483991. The reversal of 202342309483904 is 409384903243202.

It is a happy number.

202342309483904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202342309483901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18983057 + ... + 27659375.

It is an arithmetic number, because the mean of its divisors is an integer number (6342021176400).

Almost surely, 2202342309483904 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 202342309483904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202944677644800).

202342309483904 is an abundant number, since it is smaller than the sum of its proper divisors (203547045805696).

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

202342309483904 is a wasteful number, since it uses less digits than its factorization.

202342309483904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8677591 (or 8677579 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 53.

The spelling of 202342309483904 in words is "two hundred two trillion, three hundred forty-two billion, three hundred nine million, four hundred eighty-three thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 64 128 167 334 668 1091 1336 2182 2672 4364 5344 8728 10688 17456 21376 34912 69824 139648 182197 364394 728788 1457576 2915152 5830304 8676319 11660608 17352638 23321216 34705276 69410552 138821104 277642208 555284416 1110568832 1448945273 2897890546 5795781092 9465864029 11591562184 18931728058 23183124368 37863456116 46366248736 75726912232 92732497472 151453824464 185464994944 302907648928 605815297856 1211630595712 1580799292843 3161598585686 6323197171372 12646394342744 25292788685488 50585577370976 101171154741952 202342309483904