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8042163456 = 28313217927
BaseRepresentation
bin1110111110101100…
…11010110100000000
3202202110202020021210
413133112122310000
5112432243212311
63410003250120
7403202155455
oct73726326400
922673666253
108042163456
113457656488
121685379940
139b21b6602
1456412182c
153210783a6
hex1df59ad00

8042163456 has 72 divisors (see below), whose sum is σ = 21422787904. Its totient is φ = 2678353920.

The previous prime is 8042163433. The next prime is 8042163461. The reversal of 8042163456 is 6543612408.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1010565 + ... + 1018491.

Almost surely, 28042163456 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 8042163456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10711393952).

8042163456 is an abundant number, since it is smaller than the sum of its proper divisors (13380624448).

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

8042163456 is a wasteful number, since it uses less digits than its factorization.

8042163456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9267 (or 9253 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 8042163456 is about 89678.1102387868. The cubic root of 8042163456 is about 2003.5074665766.

The spelling of 8042163456 in words is "eight billion, forty-two million, one hundred sixty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1321 2642 3963 5284 7926 7927 10568 15852 15854 21136 23781 31704 31708 42272 47562 63408 63416 84544 95124 126816 126832 169088 190248 253632 253664 338176 380496 507264 507328 760992 1014528 1014656 1521984 2029312 3043968 6087936 10471567 20943134 31414701 41886268 62829402 83772536 125658804 167545072 251317608 335090144 502635216 670180288 1005270432 1340360576 2010540864 2680721152 4021081728 8042163456