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20119200168 = 23319436171663
BaseRepresentation
bin10010101111001100…
…101010000110101000
31220221010211021010210
4102233030222012220
5312201003401133
613124224141120
71311400244154
oct225714520650
956833737123
1020119200168
118594844961
123a95a677a0
131b882b1792
14d8c074064
157cb464763
hex4af32a1a8

20119200168 has 128 divisors (see below), whose sum is σ = 54296985600. Its totient is φ = 6191894016.

The previous prime is 20119200151. The next prime is 20119200217. The reversal of 20119200168 is 86100291102.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12097305 + ... + 12098967.

It is an arithmetic number, because the mean of its divisors is an integer number (424195200).

Almost surely, 220119200168 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 20119200168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27148492800).

20119200168 is an abundant number, since it is smaller than the sum of its proper divisors (34177785432).

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

20119200168 is a wasteful number, since it uses less digits than its factorization.

20119200168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The spelling of 20119200168 in words is "twenty billion, one hundred nineteen million, two hundred thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 43 57 76 86 114 129 152 172 228 258 344 456 516 617 817 1032 1234 1634 1663 1851 2451 2468 3268 3326 3702 4902 4936 4989 6536 6652 7404 9804 9978 11723 13304 14808 19608 19956 23446 26531 31597 35169 39912 46892 53062 63194 70338 71509 79593 93784 94791 106124 126388 140676 143018 159186 189582 212248 214527 252776 281352 286036 318372 379164 429054 504089 572072 636744 758328 858108 1008178 1026071 1358671 1512267 1716216 2016356 2052142 2717342 3024534 3078213 4032712 4076013 4104284 5434684 6049068 6156426 8152026 8208568 10869368 12098136 12312852 16304052 19495349 24625704 32608104 38990698 44121053 58486047 77981396 88242106 116972094 132363159 155962792 176484212 233944188 264726318 352968424 467888376 529452636 838300007 1058905272 1676600014 2514900021 3353200028 5029800042 6706400056 10059600084 20119200168