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85396049244 = 223211521599691
BaseRepresentation
bin100111110001000000…
…0000100110101011100
322011102101201202222200
41033202000010311130
52344342342033434
6103121433411500
76112123304412
oct1174200046534
9264371652880
1085396049244
1133241930810
1214672b69b90
13808c05096c
1441c16932b2
15234c0a8199
hex13e2004d5c

85396049244 has 144 divisors (see below), whose sum is σ = 236673964800. Its totient is φ = 25747488000.

The previous prime is 85396049201. The next prime is 85396049251. The reversal of 85396049244 is 44294069358.

85396049244 is a `hidden beast` number, since 8 + 5 + 3 + 9 + 604 + 9 + 24 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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, 123582939 + ... + 123583629.

It is an arithmetic number, because the mean of its divisors is an integer number (1643569200).

Almost surely, 285396049244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85396049244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118336982400).

85396049244 is an abundant number, since it is smaller than the sum of its proper divisors (151277915556).

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

85396049244 is a wasteful number, since it uses less digits than its factorization.

85396049244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 85396049244 in words is "eighty-five billion, three hundred ninety-six million, forty-nine thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 521 599 691 1042 1198 1382 1563 1797 2073 2084 2396 2764 3126 3594 4146 4689 5391 5731 6219 6252 6589 7188 7601 8292 9378 10782 11462 12438 13178 15202 17193 18756 19767 21564 22803 22924 24876 26356 30404 34386 39534 45606 51579 59301 68409 68772 79068 91212 103158 118602 136818 206316 237204 273636 312079 360011 413909 624158 720022 827818 936237 1080033 1241727 1248316 1440044 1655636 1872474 2160066 2483454 2808711 3240099 3432869 3725181 3744948 3960121 4320132 4552999 4966908 5617422 6480198 6865738 7450362 7920242 9105998 10298607 11234844 11880363 12960396 13658997 13731476 14900724 15840484 18211996 20597214 23760726 27317994 30895821 35641089 40976991 41194428 47521452 54635988 61791642 71282178 81953982 123583284 142564356 163907964 215646589 431293178 646939767 862586356 1293879534 1940819301 2372112479 2587759068 3881638602 4744224958 7116337437 7763277204 9488449916 14232674874 21349012311 28465349748 42698024622 85396049244