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168020220096 = 2632535503807
BaseRepresentation
bin1001110001111011001…
…0010001100011000000
3121001200121200112122200
42130132302101203000
510223101134020341
6205104252233200
715065461210041
oct2343662214300
9531617615580
10168020220096
1165291041233
122869176b800
1312ac8a3c3a1
1481bcb628c8
154585b2ddb6
hex271ec918c0

168020220096 has 84 divisors (see below), whose sum is σ = 490686498432. Its totient is φ = 54949999104.

The previous prime is 168020220077. The next prime is 168020220107. The reversal of 168020220096 is 690022020861.

It is a happy number.

168020220096 is a `hidden beast` number, since 168 + 0 + 202 + 200 + 96 = 666.

168020220096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1680202200962 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 168020220096.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2721376 + ... + 2782431.

Almost surely, 2168020220096 is an apocalyptic number.

168020220096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

168020220096 is an abundant number, since it is smaller than the sum of its proper divisors (322666278336).

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

168020220096 is a wasteful number, since it uses less digits than its factorization.

168020220096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5503878 (or 5503865 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 168020220096 in words is "one hundred sixty-eight billion, twenty million, two hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 144 159 192 212 288 318 424 477 576 636 848 954 1272 1696 1908 2544 3392 3816 5088 7632 10176 15264 30528 5503807 11007614 16511421 22015228 33022842 44030456 49534263 66045684 88060912 99068526 132091368 176121824 198137052 264182736 291701771 352243648 396274104 528365472 583403542 792548208 875105313 1056730944 1166807084 1585096416 1750210626 2333614168 2625315939 3170192832 3500421252 4667228336 5250631878 7000842504 9334456672 10501263756 14001685008 18668913344 21002527512 28003370016 42005055024 56006740032 84010110048 168020220096