Search a number
-
+
1004152551012 = 2232132145625109
BaseRepresentation
bin11101001110011000010…
…01111111011001100100
310112222220010011212120200
432213030021333121210
5112423001023113022
62045145030030500
7132355556565522
oct16471411773144
93488803155520
101004152551012
11357949a33a36
121427407a8430
13738ca6a0310
143685bb4b312
151b1c10c1bac
hexe9cc27f664

1004152551012 has 36 divisors (see below), whose sum is σ = 2733526390140. Its totient is φ = 308970015552.

The previous prime is 1004152551011. The next prime is 1004152551043. The reversal of 1004152551012 is 2101552514001.

It is a happy number.

1004152551012 is a `hidden beast` number, since 10 + 0 + 41 + 52 + 551 + 0 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 325693924416 + 678458626596 = 570696^2 + 823686^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (1004152551011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1072812087 + ... + 1072813022.

It is an arithmetic number, because the mean of its divisors is an integer number (75931288615).

Almost surely, 21004152551012 is an apocalyptic number.

1004152551012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1004152551012 is an abundant number, since it is smaller than the sum of its proper divisors (1729373839128).

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

1004152551012 is a wasteful number, since it uses less digits than its factorization.

1004152551012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145625132 (or 2145625127 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The spelling of 1004152551012 in words is "one trillion, four billion, one hundred fifty-two million, five hundred fifty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 2145625109 4291250218 6436875327 8582500436 12873750654 19310625981 25747501308 27893126417 38621251962 55786252834 77242503924 83679379251 111572505668 167358758502 251038137753 334717517004 502076275506 1004152551012