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9150900012 = 22321737340087
BaseRepresentation
bin10001000010110111…
…11010011100101100
3212121202000212220200
420201123322130230
5122220112300022
64112011313500
7442524236532
oct104133723454
925552025820
109150900012
113976498691
12193474b890
13b2ab05a47
1462b496152
15388587bac
hex2216fa72c

9150900012 has 72 divisors (see below), whose sum is σ = 24558389856. Its totient is φ = 2863102464.

The previous prime is 9150900001. The next prime is 9150900043. The reversal of 9150900012 is 2100090519.

It is a happy number.

9150900012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 208233 + ... + 248319.

It is an arithmetic number, because the mean of its divisors is an integer number (341088748).

Almost surely, 29150900012 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 9150900012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12279194928).

9150900012 is an abundant number, since it is smaller than the sum of its proper divisors (15407489844).

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

9150900012 is a wasteful number, since it uses less digits than its factorization.

9150900012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40487 (or 40482 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 9150900012 is about 95660.3366709526. The cubic root of 9150900012 is about 2091.6448070293.

The spelling of 9150900012 in words is "nine billion, one hundred fifty million, nine hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 373 612 746 1119 1492 2238 3357 4476 6341 6714 12682 13428 19023 25364 38046 40087 57069 76092 80174 114138 120261 160348 228276 240522 360783 481044 681479 721566 1362958 1443132 2044437 2725916 4088874 6133311 8177748 12266622 14952451 24533244 29904902 44857353 59809804 89714706 134572059 179429412 254191667 269144118 508383334 538288236 762575001 1016766668 1525150002 2287725003 3050300004 4575450006 9150900012