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135563521656 = 23347797150791
BaseRepresentation
bin111111001000000110…
…1110010111001111000
3110221220122200102120110
41332100031302321320
54210113230143111
6142135500424320
712536250631053
oct1762015627170
9427818612513
10135563521656
115254608a312
1222333b480a0
13ca256c9394
1467c0339a9a
1537d64ce5a6
hex1f90372e78

135563521656 has 64 divisors (see below), whose sum is σ = 346556206080. Its totient is φ = 44170613120.

The previous prime is 135563521619. The next prime is 135563521669. The reversal of 135563521656 is 656125365531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 823621 + ... + 974411.

It is an arithmetic number, because the mean of its divisors is an integer number (5414940720).

Almost surely, 2135563521656 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 135563521656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173278103040).

135563521656 is an abundant number, since it is smaller than the sum of its proper divisors (210992684424).

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

135563521656 is a wasteful number, since it uses less digits than its factorization.

135563521656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151644 (or 151640 counting only the distinct ones).

The product of its digits is 2430000, while the sum is 48.

The spelling of 135563521656 in words is "one hundred thirty-five billion, five hundred sixty-three million, five hundred twenty-one thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 797 1128 1594 2391 3188 4782 6376 9564 19128 37459 74918 112377 149836 150791 224754 299672 301582 449508 452373 603164 899016 904746 1206328 1809492 3618984 7087177 14174354 21261531 28348708 42523062 56697416 85046124 120180427 170092248 240360854 360541281 480721708 721082562 961443416 1442165124 2884330248 5648480069 11296960138 16945440207 22593920276 33890880414 45187840552 67781760828 135563521656