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36212364344 = 23134328128817
BaseRepresentation
bin100001101110011011…
…001101010000111000
310110110200221201011102
4201232123031100320
51043130331124334
624345152350532
72421243006152
oct415633152070
9113420851142
1036212364344
11143a2a32342
127027545448
133551456c30
141a77537ad2
15e1e20e67e
hex86e6cd438

36212364344 has 64 divisors (see below), whose sum is σ = 75090486240. Its totient is φ = 16266055680.

The previous prime is 36212364281. The next prime is 36212364367. The reversal of 36212364344 is 44346321263.

It is a super-2 number, since 2×362123643442 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36212364298 and 36212364307.

It is a congruent number.

It is an unprimeable number.

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, 1242224 + ... + 1271040.

Almost surely, 236212364344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36212364344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37545243120).

36212364344 is an abundant number, since it is smaller than the sum of its proper divisors (38878121896).

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

36212364344 is a wasteful number, since it uses less digits than its factorization.

36212364344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29160 (or 29156 counting only the distinct ones).

The product of its digits is 248832, while the sum is 38.

The spelling of 36212364344 in words is "thirty-six billion, two hundred twelve million, three hundred sixty-four thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 26 43 52 86 104 172 281 344 559 562 1118 1124 2236 2248 3653 4472 7306 12083 14612 24166 28817 29224 48332 57634 96664 115268 157079 230536 314158 374621 628316 749242 1239131 1256632 1498484 2478262 2996968 4956524 8097577 9913048 16108703 16195154 32217406 32390308 64434812 64780616 105268501 128869624 210537002 348195811 421074004 696391622 842148008 1392783244 2785566488 4526545543 9053091086 18106182172 36212364344