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1045086012 = 2232315317669
BaseRepresentation
bin111110010010101…
…011111100111100
32200211111212111100
4332102223330330
54120020223022
6251411453100
734620040665
oct7622537474
92624455440
101045086012
11496a18653
12251bb7190
131386949b9
149cb2636c
1561b3a1ac
hex3e4abf3c

1045086012 has 72 divisors (see below), whose sum is σ = 2778572160. Its totient is φ = 330744960.

The previous prime is 1045086001. The next prime is 1045086017. The reversal of 1045086012 is 2106805401.

1045086012 is a `hidden beast` number, since 1 + 0 + 4 + 50 + 8 + 601 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045086017) 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 23 ways as a sum of consecutive naturals, for example, 50314 + ... + 67982.

It is an arithmetic number, because the mean of its divisors is an integer number (38591280).

Almost surely, 21045086012 is an apocalyptic number.

1045086012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045086012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389286080).

1045086012 is an abundant number, since it is smaller than the sum of its proper divisors (1733486148).

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

1045086012 is a wasteful number, since it uses less digits than its factorization.

1045086012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17763 (or 17758 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1045086012 is about 32327.7900884054. The cubic root of 1045086012 is about 1014.8083024289.

The spelling of 1045086012 in words is "one billion, forty-five million, eighty-six thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 53 62 93 106 124 159 186 212 279 318 372 477 558 636 954 1116 1643 1908 3286 4929 6572 9858 14787 17669 19716 29574 35338 53007 59148 70676 106014 159021 212028 318042 547739 636084 936457 1095478 1643217 1872914 2190956 2809371 3286434 3745828 4929651 5618742 6572868 8428113 9859302 11237484 16856226 19718604 29030167 33712452 58060334 87090501 116120668 174181002 261271503 348362004 522543006 1045086012