Search a number
-
+
857760080080 = 24532257332393
BaseRepresentation
bin11000111101101100111…
…11000010000011010000
310001000000202220211020211
430132312133002003100
5103023143040030310
61454014411213504
7115654044244651
oct14366637020320
93030022824224
10857760080080
11300857226872
1211a2a6147294
1362b6a638c57
142d731549528
15174a408ec8a
hexc7b67c20d0

857760080080 has 40 divisors (see below), whose sum is σ = 1994360011272. Its totient is φ = 343092363264.

The previous prime is 857760080069. The next prime is 857760080081. The reversal of 857760080080 is 80080067758.

It can be written as a sum of positive squares in 4 ways, for example, as 632220736 + 857127859344 = 25144^2 + 925812^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (857760080081) 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 7 ways as a sum of consecutive naturals, for example, 2414364 + ... + 2746756.

Almost surely, 2857760080080 is an apocalyptic number.

857760080080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

857760080080 is an abundant number, since it is smaller than the sum of its proper divisors (1136599931192).

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

857760080080 is a wasteful number, since it uses less digits than its factorization.

857760080080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364663 (or 364657 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 49.

The spelling of 857760080080 in words is "eight hundred fifty-seven billion, seven hundred sixty million, eighty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 32257 64514 129028 161285 258056 322570 332393 516112 645140 664786 1290280 1329572 1661965 2580560 2659144 3323930 5318288 6647860 13295720 26591440 10722001001 21444002002 42888004004 53610005005 85776008008 107220010010 171552016016 214440020020 428880040040 857760080080