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8355134080 = 27523954623
BaseRepresentation
bin1111100100000000…
…10011101010000000
3210120021122210021101
413302000103222000
5114102403242310
63501023304144
7414022316326
oct76200235200
923507583241
108355134080
1135a8289997
12175214b054
13a31ca6127
1459390dd16
1533d79a43a
hex1f2013a80

8355134080 has 64 divisors (see below), whose sum is σ = 20057932800. Its totient is φ = 3328009216.

The previous prime is 8355134057. The next prime is 8355134083. The reversal of 8355134080 is 804315538.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (8355134083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125649 + ... + 180271.

It is an arithmetic number, because the mean of its divisors is an integer number (313405200).

Almost surely, 28355134080 is an apocalyptic number.

8355134080 is a gapful number since it is divisible by the number (80) 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 8355134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10028966400).

8355134080 is an abundant number, since it is smaller than the sum of its proper divisors (11702798720).

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

8355134080 is a wasteful number, since it uses less digits than its factorization.

8355134080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54881 (or 54869 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 8355134080 is about 91406.4225314611. The cubic root of 8355134080 is about 2029.1670796510.

The spelling of 8355134080 in words is "eight billion, three hundred fifty-five million, one hundred thirty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 239 320 478 640 956 1195 1912 2390 3824 4780 7648 9560 15296 19120 30592 38240 54623 76480 109246 152960 218492 273115 436984 546230 873968 1092460 1747936 2184920 3495872 4369840 6991744 8739680 13054897 17479360 26109794 34958720 52219588 65274485 104439176 130548970 208878352 261097940 417756704 522195880 835513408 1044391760 1671026816 2088783520 4177567040 8355134080