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85676634270 = 23253731182729
BaseRepresentation
bin100111111001010111…
…0011011000010011110
322012010221200222021200
41033302232123002132
52400431204244040
6103205335340330
76122101242513
oct1176256330236
9265127628250
1085676634270
1133376254467
1214730b216a6
1381052116c6
14420aa5130a
152366a2e630
hex13f2b9b09e

85676634270 has 96 divisors (see below), whose sum is σ = 229518169920. Its totient is φ = 22157867520.

The previous prime is 85676634229. The next prime is 85676634313. The reversal of 85676634270 is 7243667658.

85676634270 is a `hidden beast` number, since 8 + 567 + 6 + 6 + 3 + 4 + 2 + 70 = 666.

It is a congruent number.

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, 994266 + ... + 1076994.

It is an arithmetic number, because the mean of its divisors is an integer number (2390814270).

Almost surely, 285676634270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85676634270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114759084960).

85676634270 is an abundant number, since it is smaller than the sum of its proper divisors (143841535650).

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

85676634270 is a wasteful number, since it uses less digits than its factorization.

85676634270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83090 (or 83087 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 85676634270 in words is "eighty-five billion, six hundred seventy-six million, six hundred thirty-four thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 311 333 370 555 622 666 933 1110 1555 1665 1866 2799 3110 3330 4665 5598 9330 11507 13995 23014 27990 34521 57535 69042 82729 103563 115070 165458 172605 207126 248187 345210 413645 496374 517815 744561 827290 1035630 1240935 1489122 2481870 3060973 3722805 6121946 7445610 9182919 15304865 18365838 25728719 27548757 30609730 45914595 51457438 55097514 77186157 91829190 128643595 137743785 154372314 231558471 257287190 275487570 385930785 463116942 771861570 951962603 1157792355 1903925206 2315584710 2855887809 4759813015 5711775618 8567663427 9519626030 14279439045 17135326854 28558878090 42838317135 85676634270