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85307200825 = 52711192332391
BaseRepresentation
bin100111101110010110…
…1001001010100111001
322011012012112210212111
41033130231021110321
52344202120411300
6103104541212321
76106664146210
oct1173455112471
9264165483774
1085307200825
11331a6766670
12146492610a1
138076812c32
1441b3966077
1523443a79ba
hex13dcb49539

85307200825 has 48 divisors (see below), whose sum is σ = 138823971840. Its totient is φ = 50379624000.

The previous prime is 85307200817. The next prime is 85307200837. The reversal of 85307200825 is 52800270358.

It is not a de Polignac number, because 85307200825 - 23 = 85307200817 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1129621 + ... + 1202770.

It is an arithmetic number, because the mean of its divisors is an integer number (2892166080).

Almost surely, 285307200825 is an apocalyptic number.

It is an amenable number.

85307200825 is a deficient number, since it is larger than the sum of its proper divisors (53516771015).

85307200825 is a wasteful number, since it uses less digits than its factorization.

85307200825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332438 (or 2332433 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The spelling of 85307200825 in words is "eighty-five billion, three hundred seven million, two hundred thousand, eight hundred twenty-five".

Divisors: 1 5 7 11 19 25 35 55 77 95 133 175 209 275 385 475 665 1045 1463 1925 3325 5225 7315 36575 2332391 11661955 16326737 25656301 44315429 58309775 81633685 128281505 179594107 221577145 310208003 408168425 487469719 641407525 897970535 1107885725 1551040015 2437348595 3412288033 4489852675 7755200075 12186742975 17061440165 85307200825