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85699756494 = 232113135413943
BaseRepresentation
bin100111111010000011…
…0101000000111001110
322012012120012201000100
41033310012220013032
52401003114201434
6103211523111530
76122501624322
oct1176406500716
9265176181010
1085699756494
1133388307540
12147388125a6
138109c48cb1
14420db4d982
152368a9a699
hex13f41a81ce

85699756494 has 96 divisors (see below), whose sum is σ = 209209448448. Its totient is φ = 25118424000.

The previous prime is 85699756489. The next prime is 85699756511. The reversal of 85699756494 is 49465799658.

85699756494 is a `hidden beast` number, since 8 + 5 + 69 + 9 + 75 + 6 + 494 = 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, 21732687 + ... + 21736629.

It is an arithmetic number, because the mean of its divisors is an integer number (2179265088).

Almost surely, 285699756494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85699756494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104604724224).

85699756494 is an abundant number, since it is smaller than the sum of its proper divisors (123509691954).

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

85699756494 is a wasteful number, since it uses less digits than its factorization.

85699756494 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7534 (or 7531 counting only the distinct ones).

The product of its digits is 587865600, while the sum is 72.

The spelling of 85699756494 in words is "eighty-five billion, six hundred ninety-nine million, seven hundred fifty-six thousand, four hundred ninety-four".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 682 1023 2046 3069 3541 3943 6138 7082 7886 10623 11829 21246 23658 31869 35487 38951 43373 63738 70974 77902 86746 109771 116853 122233 130119 219542 233706 244466 260238 329313 350559 366699 390357 658626 701118 733398 780714 987939 1100097 1207481 1344563 1975878 2200194 2414962 2689126 3622443 4033689 7244886 8067378 10867329 12101067 13962163 21734658 24202134 27924326 41886489 83772978 125659467 153583793 251318934 307167586 432827053 460751379 865654106 921502758 1298481159 1382254137 2596962318 2764508274 3895443477 4761097583 7790886954 9522195166 14283292749 28566585498 42849878247 85699756494