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36224264136 = 23318135323623
BaseRepresentation
bin100001101111001000…
…100110011111001000
310110111112100021121110
4201233020212133020
51043141402423021
624350255410320
72421446110344
oct415710463710
9113445307543
1036224264136
11143a971a885
12702b5239a0
133553a62428
141a78d54624
15e202b0476
hex86f2267c8

36224264136 has 64 divisors (see below), whose sum is σ = 91322824320. Its totient is φ = 11973519360.

The previous prime is 36224264101. The next prime is 36224264137. The reversal of 36224264136 is 63146242263.

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

It is a junction number, because it is equal to n+sod(n) for n = 36224264094 and 36224264103.

It is not an unprimeable number, because it can be changed into a prime (36224264137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1521621 + ... + 1545243.

It is an arithmetic number, because the mean of its divisors is an integer number (1426919130).

Almost surely, 236224264136 is an apocalyptic number.

It is an amenable number.

36224264136 is an abundant number, since it is smaller than the sum of its proper divisors (55098560184).

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

36224264136 is a wasteful number, since it uses less digits than its factorization.

36224264136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24166 (or 24162 counting only the distinct ones).

The product of its digits is 248832, while the sum is 39.

The spelling of 36224264136 in words is "thirty-six billion, two hundred twenty-four million, two hundred sixty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 181 353 362 543 706 724 1059 1086 1412 1448 2118 2172 2824 4236 4344 8472 23623 47246 63893 70869 94492 127786 141738 188984 191679 255572 283476 383358 511144 566952 766716 1533432 4275763 8338919 8551526 12827289 16677838 17103052 25016757 25654578 33355676 34206104 50033514 51309156 66711352 100067028 102618312 200134056 1509344339 3018688678 4528033017 6037377356 9056066034 12074754712 18112132068 36224264136