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85461737120 = 2551423375359
BaseRepresentation
bin100111110010111101…
…0101001111010100000
322011120222100001210222
41033211322221322200
52400011201041440
6103132141342212
76113551531304
oct1174572517240
9264528301728
1085461737120
1133275a17011
1214690b67968
13809c83c826
1441ca2b1d04
152352c312b5
hex13e5ea9ea0

85461737120 has 48 divisors (see below), whose sum is σ = 202045777920. Its totient is φ = 34160580864.

The previous prime is 85461737117. The next prime is 85461737129. The reversal of 85461737120 is 2173716458.

It is not an unprimeable number, because it can be changed into a prime (85461737129) 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, 40001 + ... + 415359.

It is an arithmetic number, because the mean of its divisors is an integer number (4209287040).

Almost surely, 285461737120 is an apocalyptic number.

85461737120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85461737120 is an abundant number, since it is smaller than the sum of its proper divisors (116584040800).

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

85461737120 is a wasteful number, since it uses less digits than its factorization.

85461737120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376797 (or 376789 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The spelling of 85461737120 in words is "eighty-five billion, four hundred sixty-one million, seven hundred thirty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1423 2846 5692 7115 11384 14230 22768 28460 45536 56920 113840 227680 375359 750718 1501436 1876795 3002872 3753590 6005744 7507180 12011488 15014360 30028720 60057440 534135857 1068271714 2136543428 2670679285 4273086856 5341358570 8546173712 10682717140 17092347424 21365434280 42730868560 85461737120