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94866768468 = 223213733757077
BaseRepresentation
bin101100001011010000…
…0000000001001010100
3100001212102120011101100
41120112200000021110
53023241343042333
6111325312030100
76565613140623
oct1302640001124
9301772504340
1094866768468
11372618aa29a
1216476832330
138c3b1a3534
14483d3db6ba
152703767213
hex1616800254

94866768468 has 72 divisors (see below), whose sum is σ = 242273507112. Its totient is φ = 31297738752.

The previous prime is 94866768449. The next prime is 94866768473. The reversal of 94866768468 is 86486766849.

94866768468 is a `hidden beast` number, since 9 + 48 + 6 + 67 + 68 + 468 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2992308804 + 91874459664 = 54702^2 + 303108^2 .

It is a super-2 number, since 2×948667684682 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 94866768396 and 94866768405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1633546 + ... + 1690622.

It is an arithmetic number, because the mean of its divisors is an integer number (3364909821).

Almost surely, 294866768468 is an apocalyptic number.

It is an amenable number.

94866768468 is an abundant number, since it is smaller than the sum of its proper divisors (147406738644).

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

94866768468 is a wasteful number, since it uses less digits than its factorization.

94866768468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57561 (or 57556 counting only the distinct ones).

The product of its digits is 668860416, while the sum is 72.

The spelling of 94866768468 in words is "ninety-four billion, eight hundred sixty-six million, seven hundred sixty-eight thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 137 274 337 411 548 674 822 1011 1233 1348 1644 2022 2466 3033 4044 4932 6066 12132 46169 57077 92338 114154 138507 171231 184676 228308 277014 342462 415521 513693 554028 684924 831042 1027386 1662084 2054772 7819549 15639098 19234949 23458647 31278196 38469898 46917294 57704847 70375941 76939796 93834588 115409694 140751882 173114541 230819388 281503764 346229082 692458164 2635188013 5270376026 7905564039 10540752052 15811128078 23716692117 31622256156 47433384234 94866768468