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85270253600 = 2552715226831
BaseRepresentation
bin100111101101010000…
…0001101000000100000
322011002122000200210202
41033122200031000200
52344113141103400
6103101141244332
76106035124310
oct1173240150040
9264078020722
1085270253600
1133187920674
1214638a036a8
13806bc77a7c
1441acaa9440
15234100a4d5
hex13da80d020

85270253600 has 72 divisors (see below), whose sum is σ = 237904023168. Its totient is φ = 29235513600.

The previous prime is 85270253597. The next prime is 85270253611. The reversal of 85270253600 is 635207258.

It is a super-2 number, since 2×852702536002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7607816 + ... + 7619015.

It is an arithmetic number, because the mean of its divisors is an integer number (3304222544).

Almost surely, 285270253600 is an apocalyptic number.

85270253600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85270253600 is an abundant number, since it is smaller than the sum of its proper divisors (152633769568).

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

85270253600 is a wasteful number, since it uses less digits than its factorization.

85270253600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15226858 (or 15226845 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The spelling of 85270253600 in words is "eighty-five billion, two hundred seventy million, two hundred fifty-three thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1400 2800 5600 15226831 30453662 60907324 76134155 106587817 121814648 152268310 213175634 243629296 304536620 380670775 426351268 487258592 532939085 609073240 761341550 852702536 1065878170 1218146480 1522683100 1705405072 2131756340 2436292960 2664695425 3045366200 3410810144 4263512680 5329390850 6090732400 8527025360 10658781700 12181464800 17054050720 21317563400 42635126800 85270253600