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135884384208 = 24323079973083
BaseRepresentation
bin111111010001101010…
…1110010011111010000
3110222202000102221020200
41332203111302133100
54211242400243313
6142231401535200
712550225131306
oct1764325623720
9428660387220
10135884384208
11526a0213081
12224034a4500
13ca77020091
146810bc0276
15380475eb73
hex1fa35727d0

135884384208 has 120 divisors (see below), whose sum is σ = 382032819168. Its totient is φ = 45087342336.

The previous prime is 135884384191. The next prime is 135884384213. The reversal of 135884384208 is 802483488531.

135884384208 is a `hidden beast` number, since 1 + 3 + 58 + 8 + 4 + 384 + 208 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44073835 + ... + 44076917.

Almost surely, 2135884384208 is an apocalyptic number.

135884384208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135884384208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191016409584).

135884384208 is an abundant number, since it is smaller than the sum of its proper divisors (246148434960).

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

135884384208 is a wasteful number, since it uses less digits than its factorization.

135884384208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4401 (or 4392 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 135884384208 in words is "one hundred thirty-five billion, eight hundred eighty-four million, three hundred eighty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 307 614 921 997 1228 1842 1994 2456 2763 2991 3083 3684 3988 4912 5526 5982 6166 7368 7976 8973 9249 11052 11964 12332 14736 15952 17946 18498 22104 23928 24664 27747 35892 36996 44208 47856 49328 55494 71784 73992 110988 143568 147984 221976 306079 443952 612158 918237 946481 1224316 1836474 1892962 2448632 2754711 2839443 3073751 3672948 3785924 4897264 5509422 5678886 6147502 7345896 7571848 8518329 9221253 11018844 11357772 12295004 14691792 15143696 17036658 18442506 22037688 22715544 24590008 27663759 34073316 36885012 44075376 45431088 49180016 55327518 68146632 73770024 110655036 136293264 147540048 221310072 442620144 943641557 1887283114 2830924671 3774566228 5661849342 7549132456 8492774013 11323698684 15098264912 16985548026 22647397368 33971096052 45294794736 67942192104 135884384208