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1004412432096 = 25331162514389
BaseRepresentation
bin11101001110110111010…
…01010110111011100000
310120000120020012012102000
432213123221112323200
5112424014040311341
62045230512124000
7132365163543363
oct16473351267340
93500506165360
101004412432096
11357a726a6497
121427b3836600
137393c4923c8
143688447a0da
151b1d8d088b6
hexe9dba56ee0

1004412432096 has 48 divisors (see below), whose sum is σ = 2929536262800. Its totient is φ = 334804143744.

The previous prime is 1004412432091. The next prime is 1004412432193. The reversal of 1004412432096 is 6902342144001.

1004412432096 is a `hidden beast` number, since 1 + 0 + 0 + 441 + 2 + 4 + 3 + 209 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1004412432096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004412432091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 581256331 + ... + 581258058.

It is an arithmetic number, because the mean of its divisors is an integer number (61032005475).

Almost surely, 21004412432096 is an apocalyptic number.

1004412432096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1004412432096 is an abundant number, since it is smaller than the sum of its proper divisors (1925123830704).

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

1004412432096 is a wasteful number, since it uses less digits than its factorization.

1004412432096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162514408 (or 1162514394 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 1004412432096 its reverse (6902342144001), we get a palindrome (7906754576097).

The spelling of 1004412432096 in words is "one trillion, four billion, four hundred twelve million, four hundred thirty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1162514389 2325028778 3487543167 4650057556 6975086334 9300115112 10462629501 13950172668 18600230224 20925259002 27900345336 31387888503 37200460448 41850518004 55800690672 62775777006 83701036008 111601381344 125551554012 167402072016 251103108024 334804144032 502206216048 1004412432096