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85701157280 = 2552918470077
BaseRepresentation
bin100111111010000101…
…1111110000110100000
322012012122211212112022
41033310023332012200
52401003444013110
6103212013121012
76122516550254
oct1176413760640
9265178755468
1085701157280
1133389083a12
1214739189168
13810a31976b
14420ddd6264
152368c75755
hex13f42fe1a0

85701157280 has 48 divisors (see below), whose sum is σ = 209450684520. Its totient is φ = 33098376192.

The previous prime is 85701157277. The next prime is 85701157301. The reversal of 85701157280 is 8275110758.

It can be written as a sum of positive squares in 4 ways, for example, as 66909134224 + 18792023056 = 258668^2 + 137084^2 .

It is an unprimeable number.

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, 9230399 + ... + 9239678.

Almost surely, 285701157280 is an apocalyptic number.

85701157280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85701157280 is an abundant number, since it is smaller than the sum of its proper divisors (123749527240).

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

85701157280 is a wasteful number, since it uses less digits than its factorization.

85701157280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18470121 (or 18470113 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 44.

The spelling of 85701157280 in words is "eighty-five billion, seven hundred one million, one hundred fifty-seven thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 18470077 36940154 73880308 92350385 147760616 184700770 295521232 369401540 535632233 591042464 738803080 1071264466 1477606160 2142528932 2678161165 2955212320 4285057864 5356322330 8570115728 10712644660 17140231456 21425289320 42850578640 85701157280