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36190322028 = 22327437345751
BaseRepresentation
bin100001101101000111…
…000111110101101100
310110102011110211210100
4201231013013311230
51043104210301103
624343044111100
72420554442640
oct415507076554
9113364424710
1036190322028
1114391547653
127020095490
133549a0a043
141a7463ac20
15e1c3085a3
hex86d1c7d6c

36190322028 has 144 divisors (see below), whose sum is σ = 108449076736. Its totient is φ = 9961056000.

The previous prime is 36190322023. The next prime is 36190322039. The reversal of 36190322028 is 82022309163.

36190322028 is a `hidden beast` number, since 3 + 619 + 0 + 32 + 2 + 0 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 36190321983 and 36190322001.

It is not an unprimeable number, because it can be changed into a prime (36190322023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 768153 + ... + 813903.

Almost surely, 236190322028 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 36190322028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54224538368).

36190322028 is an abundant number, since it is smaller than the sum of its proper divisors (72258754708).

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

36190322028 is a wasteful number, since it uses less digits than its factorization.

36190322028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45884 (or 45879 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 36190322028 in words is "thirty-six billion, one hundred ninety million, three hundred twenty-two thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 73 84 86 126 129 146 172 219 252 258 292 301 387 438 511 516 602 657 774 876 903 1022 1204 1314 1533 1548 1806 2044 2628 2709 3066 3139 3612 4599 5418 6132 6278 9198 9417 10836 12556 18396 18834 21973 28251 37668 43946 45751 56502 65919 87892 91502 113004 131838 137253 183004 197757 263676 274506 320257 395514 411759 549012 640514 791028 823518 960771 1281028 1647036 1921542 1967293 2882313 3339823 3843084 3934586 5764626 5901879 6679646 7869172 10019469 11529252 11803758 13359292 13771051 17705637 20038938 23378761 23607516 27542102 30058407 35411274 40077876 41313153 46757522 55084204 60116814 70136283 70822548 82626306 93515044 120233628 123939459 140272566 143612389 165252612 210408849 247878918 280545132 287224778 420817698 430837167 495757836 574449556 841635396 861674334 1005286723 1292511501 1723348668 2010573446 2585023002 3015860169 4021146892 5170046004 6031720338 9047580507 12063440676 18095161014 36190322028