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85574130620 = 225112101350111
BaseRepresentation
bin100111110110010011…
…1011001101110111100
322011212210211020201012
41033230213121232330
52400223434134440
6103151234334352
76116415052166
oct1175447315674
9264783736635
1085574130620
1133323402a00
121470272a3b8
1380b9c02464
1441db1ab936
15235ca32e65
hex13ec9d9bbc

85574130620 has 72 divisors (see below), whose sum is σ = 199484014464. Its totient is φ = 30809680000.

The previous prime is 85574130557. The next prime is 85574130641. The reversal of 85574130620 is 2603147558.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69365 + ... + 419475.

It is an arithmetic number, because the mean of its divisors is an integer number (2770611312).

Almost surely, 285574130620 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85574130620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99742007232).

85574130620 is an abundant number, since it is smaller than the sum of its proper divisors (113909883844).

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

85574130620 is a wasteful number, since it uses less digits than its factorization.

85574130620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350243 (or 350230 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The spelling of 85574130620 in words is "eighty-five billion, five hundred seventy-four million, one hundred thirty thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 121 202 220 242 404 484 505 605 1010 1111 1210 2020 2222 2420 4444 5555 11110 12221 22220 24442 48884 61105 122210 244420 350111 700222 1400444 1750555 3501110 3851221 7002220 7702442 15404884 19256105 35361211 38512210 42363431 70722422 77024420 84726862 141444844 169453724 176806055 211817155 353612110 388973321 423634310 707224220 777946642 847268620 1555893284 1944866605 3889733210 4278706531 7779466420 8557413062 17114826124 21393532655 42787065310 85574130620