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85216899944 = 23117923352609
BaseRepresentation
bin100111101011101010…
…0101011001101101000
322010221220122001100102
41033113110223031220
52344011011244234
6103051553524532
76104516461301
oct1172724531550
9263856561312
1085216899944
113315a79a240
1214622b73748
138060bb7067
1441a597b7a8
15233b4bbc7e
hex13d752b368

85216899944 has 64 divisors (see below), whose sum is σ = 177274656000. Its totient is φ = 38079774720.

The previous prime is 85216899941. The next prime is 85216899949. The reversal of 85216899944 is 44999861258.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (85216899941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1593512 + ... + 1646120.

It is an arithmetic number, because the mean of its divisors is an integer number (2769916500).

Almost surely, 285216899944 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 85216899944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88637328000).

85216899944 is an abundant number, since it is smaller than the sum of its proper divisors (92057756056).

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

85216899944 is a wasteful number, since it uses less digits than its factorization.

85216899944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52938 (or 52934 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 65.

The spelling of 85216899944 in words is "eighty-five billion, two hundred sixteen million, eight hundred ninety-nine thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 22 44 79 88 158 233 316 466 632 869 932 1738 1864 2563 3476 5126 6952 10252 18407 20504 36814 52609 73628 105218 147256 202477 210436 404954 420872 578699 809908 1157398 1619816 2314796 4156111 4629592 8312222 12257897 16624444 24515794 33248888 45717221 49031588 91434442 98063176 134836867 182868884 269673734 365737768 539347468 968373863 1078694936 1936747726 3873495452 7746990904 10652112493 21304224986 42608449972 85216899944