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36828627132 = 223112089133559
BaseRepresentation
bin100010010011001010…
…000100000010111100
310112001122120002210010
4202103022010002330
51100411112032012
624530245143220
72442435110523
oct422312040274
9115048502703
1036828627132
1114689888730
1271799bab10
13361c027b7b
141ad53154ba
15e58390c3c
hex8932840bc

36828627132 has 48 divisors (see below), whose sum is σ = 93791174400. Its totient is φ = 11154764160.

The previous prime is 36828627131. The next prime is 36828627133. The reversal of 36828627132 is 23172682863.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36828627131) and next prime (36828627133).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36828627131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208969 + ... + 342527.

It is an arithmetic number, because the mean of its divisors is an integer number (1953982800).

Almost surely, 236828627132 is an apocalyptic number.

It is an amenable number.

36828627132 is an abundant number, since it is smaller than the sum of its proper divisors (56962547268).

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

36828627132 is a wasteful number, since it uses less digits than its factorization.

36828627132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135666 (or 135664 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The spelling of 36828627132 in words is "thirty-six billion, eight hundred twenty-eight million, six hundred twenty-seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 2089 4178 6267 8356 12534 22979 25068 45958 68937 91916 133559 137874 267118 275748 400677 534236 801354 1469149 1602708 2938298 4407447 5876596 8814894 17629788 279004751 558009502 837014253 1116019004 1674028506 3069052261 3348057012 6138104522 9207156783 12276209044 18414313566 36828627132