Search a number
-
+
36212444136 = 23321151678849
BaseRepresentation
bin100001101110011011…
…100000101111101000
310110110201002202121200
4201232123200233220
51043130341203021
624345154204200
72421243460611
oct415633405750
9113421082550
1036212444136
11143a2a87290
127027583660
13355148434b
141a77558c08
15e1e228126
hex86e6e0be8

36212444136 has 96 divisors (see below), whose sum is σ = 107024112000. Its totient is φ = 10970104320.

The previous prime is 36212444123. The next prime is 36212444153. The reversal of 36212444136 is 63144421263.

36212444136 is a `hidden beast` number, since 3 + 62 + 124 + 441 + 36 = 666.

36212444136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×362124441362 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 36212444136.

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, 4087840 + ... + 4096688.

It is an arithmetic number, because the mean of its divisors is an integer number (1114834500).

Almost surely, 236212444136 is an apocalyptic number.

36212444136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

36212444136 is an abundant number, since it is smaller than the sum of its proper divisors (70811667864).

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

36212444136 is a wasteful number, since it uses less digits than its factorization.

36212444136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14039 (or 14032 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 36212444136 its reverse (63144421263), we get a palindrome (99356865399).

The spelling of 36212444136 in words is "thirty-six billion, two hundred twelve million, four hundred forty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 5167 8849 10334 15501 17698 20668 26547 31002 35396 41336 46503 53094 56837 62004 70792 79641 93006 97339 106188 113674 124008 159282 170511 186012 194678 212376 227348 292017 318564 341022 372024 389356 454696 511533 584034 637128 682044 778712 876051 1023066 1168068 1364088 1752102 2046132 2336136 3504204 4092264 7008408 45722783 91445566 137168349 182891132 274336698 365782264 411505047 502950613 548673396 823010094 1005901226 1097346792 1508851839 1646020188 2011802452 3017703678 3292040376 4023604904 4526555517 6035407356 9053111034 12070814712 18106222068 36212444136