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135955889910 = 23355383114467
BaseRepresentation
bin111111010011110011…
…0100011111011110110
3110222220222222210122000
41332213212203323312
54211414201434120
6142242434320130
712552053665611
oct1764746437366
9428828883560
10135955889910
11527276123a5
1222423429046
13ca88a98049
14681a4b5178
15380ab86990
hex1fa79a3ef6

135955889910 has 128 divisors (see below), whose sum is σ = 373843330560. Its totient is φ = 35141977728.

The previous prime is 135955889887. The next prime is 135955889911. The reversal of 135955889910 is 19988559531.

135955889910 is a `hidden beast` number, since 1 + 35 + 9 + 5 + 588 + 9 + 9 + 10 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135955889911) 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, 1130497 + ... + 1244963.

It is an arithmetic number, because the mean of its divisors is an integer number (2920651020).

Almost surely, 2135955889910 is an apocalyptic number.

135955889910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135955889910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186921665280).

135955889910 is an abundant number, since it is smaller than the sum of its proper divisors (237887440650).

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

135955889910 is a wasteful number, since it uses less digits than its factorization.

135955889910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114619 (or 114613 counting only the distinct ones).

The product of its (nonzero) digits is 17496000, while the sum is 63.

The spelling of 135955889910 in words is "one hundred thirty-five billion, nine hundred fifty-five million, eight hundred eighty-nine thousand, nine hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 83 90 106 135 159 166 249 265 270 318 415 477 498 530 747 795 830 954 1245 1431 1494 1590 2241 2385 2490 2862 3735 4399 4482 4770 7155 7470 8798 11205 13197 14310 21995 22410 26394 39591 43990 65985 79182 114467 118773 131970 197955 228934 237546 343401 395910 572335 593865 686802 1030203 1144670 1187730 1717005 2060406 3090609 3434010 5151015 6066751 6181218 9500761 10302030 12133502 15453045 18200253 19001522 28502283 30333755 30906090 36400506 47503805 54600759 57004566 60667510 85506849 91001265 95007610 109201518 142511415 163802277 171013698 182002530 256520547 273003795 285022830 327604554 427534245 503540333 513041094 546007590 819011385 855068490 1007080666 1282602735 1510620999 1638022770 2517701665 2565205470 3021241998 4531862997 5035403330 7553104995 9063725994 13595588991 15106209990 22659314985 27191177982 45318629970 67977944955 135955889910