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84416942808 = 233211155368633
BaseRepresentation
bin100111010011110100…
…1000101001011011000
322001220011101000110100
41032213221011023120
52340341214132213
6102440340015400
76045634113612
oct1164751051330
9261804330410
1084416942808
113288a188640
121443b091560
137c6424a843
14412b623db2
1522e1152773
hex13a7a452d8

84416942808 has 96 divisors (see below), whose sum is σ = 249577932240. Its totient is φ = 25564047360.

The previous prime is 84416942767. The next prime is 84416942809. The reversal of 84416942808 is 80824961448.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84416942809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1195660 + ... + 1264292.

Almost surely, 284416942808 is an apocalyptic number.

84416942808 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84416942808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124788966120).

84416942808 is an abundant number, since it is smaller than the sum of its proper divisors (165160989432).

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

84416942808 is a wasteful number, since it uses less digits than its factorization.

84416942808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70209 (or 70202 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 84416942808 in words is "eighty-four billion, four hundred sixteen million, nine hundred forty-two thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1553 3106 4659 6212 9318 12424 13977 17083 18636 27954 34166 37272 51249 55908 68332 68633 102498 111816 136664 137266 153747 204996 205899 274532 307494 409992 411798 549064 614988 617697 754963 823596 1229976 1235394 1509926 1647192 2264889 2470788 3019852 4529778 4941576 6039704 6794667 9059556 13589334 18119112 27178668 54357336 106587049 213174098 319761147 426348196 639522294 852696392 959283441 1172457539 1279044588 1918566882 2344915078 2558089176 3517372617 3837133764 4689830156 7034745234 7674267528 9379660312 10552117851 14069490468 21104235702 28138980936 42208471404 84416942808