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136893519936 = 2634157168197
BaseRepresentation
bin111111101111101111…
…1010101100001000000
3111002100100022100020000
41333133133111201000
54220324220114221
6142515451120000
712614230502055
oct1773737254100
9432310270200
10136893519936
1153068906748
1222645443000
13cba8108604
1468a8c2902c
153863147e26
hex1fdf7d5840

136893519936 has 140 divisors (see below), whose sum is σ = 408382389228. Its totient is φ = 45340259328.

The previous prime is 136893519877. The next prime is 136893519947. The reversal of 136893519936 is 639915398631.

136893519936 is a `hidden beast` number, since 1 + 3 + 6 + 89 + 3 + 519 + 9 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 78646593600 + 58246926336 = 280440^2 + 241344^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 729790 + ... + 897986.

Almost surely, 2136893519936 is an apocalyptic number.

136893519936 is a gapful number since it is divisible by the number (16) 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 136893519936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204191194614).

136893519936 is an abundant number, since it is smaller than the sum of its proper divisors (271488869292).

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

136893519936 is a wasteful number, since it uses less digits than its factorization.

136893519936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168378 (or 168359 counting only the distinct ones).

The product of its digits is 28343520, while the sum is 63.

The spelling of 136893519936 in words is "one hundred thirty-six billion, eight hundred ninety-three million, five hundred nineteen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 157 162 192 216 288 314 324 432 471 576 628 648 864 942 1256 1296 1413 1728 1884 2512 2592 2826 3768 4239 5024 5184 5652 7536 8478 10048 11304 12717 15072 16956 22608 25434 30144 33912 45216 50868 67824 90432 101736 135648 168197 203472 271296 336394 406944 504591 672788 813888 1009182 1345576 1513773 2018364 2691152 3027546 4036728 4541319 5382304 6055092 8073456 9082638 10764608 12110184 13623957 16146912 18165276 24220368 26406929 27247914 32293824 36330552 48440736 52813858 54495828 72661104 79220787 96881472 105627716 108991656 145322208 158441574 211255432 217983312 237662361 290644416 316883148 422510864 435966624 475324722 633766296 712987083 845021728 871933248 950649444 1267532592 1425974166 1690043456 1901298888 2138961249 2535065184 2851948332 3802597776 4277922498 5070130368 5703896664 7605195552 8555844996 11407793328 15210391104 17111689992 22815586656 34223379984 45631173312 68446759968 136893519936