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85414796226 = 232171914393329
BaseRepresentation
bin100111110001100011…
…1100101101111000010
322011110201000020000100
41033203013211233002
52344412141434401
6103123343303230
76112441534344
oct1174307455702
9264421006010
1085414796226
1133251475691
12146792aab16
138092bb5956
1441c3d73294
15234da5cb86
hex13e31e5bc2

85414796226 has 96 divisors (see below), whose sum is σ = 197485516800. Its totient is φ = 26587791360.

The previous prime is 85414796219. The next prime is 85414796231. The reversal of 85414796226 is 62269741458.

85414796226 is a `hidden beast` number, since 8 + 5 + 4 + 1 + 4 + 7 + 9 + 622 + 6 = 666.

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, 25656130 + ... + 25659458.

It is an arithmetic number, because the mean of its divisors is an integer number (2057140800).

Almost surely, 285414796226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85414796226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98742758400).

85414796226 is an abundant number, since it is smaller than the sum of its proper divisors (112070720574).

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

85414796226 is a wasteful number, since it uses less digits than its factorization.

85414796226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3984 (or 3981 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 85414796226 in words is "eighty-five billion, four hundred fourteen million, seven hundred ninety-six thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 191 306 382 439 573 878 1146 1317 1719 2634 3247 3329 3438 3951 6494 6658 7463 7902 9741 9987 14926 19482 19974 22389 29223 29961 44778 56593 58446 59922 67167 83849 113186 134334 167698 169779 251547 339558 503094 509337 635839 754641 1018674 1271678 1425433 1461431 1509282 1907517 2850866 2922862 3815034 4276299 4384293 5722551 8552598 8768586 10809263 11445102 12828897 13152879 21618526 24844327 25657794 26305758 32427789 49688654 64855578 74532981 97283367 149065962 194566734 223598943 279133321 447197886 558266642 837399963 1674799926 2512199889 4745266457 5024399778 9490532914 14235799371 28471598742 42707398113 85414796226