Search a number
-
+
85699100628 = 2235611314423
BaseRepresentation
bin100111111010000010…
…0000111111111010100
322012012111222101100000
41033310010013333110
52401002432210003
6103211501051300
76122463223221
oct1176404077724
9265174871300
1085699100628
11333879a97a9
1214738556b30
138109a795cb
14420da1c948
1523689bb1a3
hex13f4107fd4

85699100628 has 72 divisors (see below), whose sum is σ = 224703880128. Its totient is φ = 28559713536.

The previous prime is 85699100623. The next prime is 85699100657. The reversal of 85699100628 is 82600199658.

It is a happy number.

85699100628 is a `hidden beast` number, since 8 + 5 + 6 + 9 + 9 + 1 + 0 + 0 + 628 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85699100623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5934625 + ... + 5949047.

It is an arithmetic number, because the mean of its divisors is an integer number (3120887224).

Almost surely, 285699100628 is an apocalyptic number.

It is an amenable number.

85699100628 is an abundant number, since it is smaller than the sum of its proper divisors (139004779500).

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

85699100628 is a wasteful number, since it uses less digits than its factorization.

85699100628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20555 (or 20541 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 85699100628 in words is "eighty-five billion, six hundred ninety-nine million, one hundred thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 6113 12226 14423 18339 24452 28846 36678 43269 55017 57692 73356 86538 110034 129807 165051 173076 220068 259614 330102 389421 495153 519228 660204 778842 990306 1168263 1485459 1557684 1980612 2336526 2970918 3504789 4673052 5941836 7009578 14019156 88167799 176335598 264503397 352671196 529006794 793510191 1058013588 1587020382 2380530573 3174040764 4761061146 7141591719 9522122292 14283183438 21424775157 28566366876 42849550314 85699100628