Search a number
-
+
189904112496 = 2434720932993
BaseRepresentation
bin1011000011011100101…
…0101100101101110000
3200011011202002110110000
42300313022230231300
511102410423044441
6223124000110000
716502000215440
oct2606712545560
9604152073400
10189904112496
11735a0a1451a
123097a605300
1314ba57cb047
14929731c120
154e16e752b6
hex2c372acb70

189904112496 has 100 divisors (see below), whose sum is σ = 628157283952. Its totient is φ = 54258315264.

The previous prime is 189904112483. The next prime is 189904112501. The reversal of 189904112496 is 694211409981.

189904112496 is a `hidden beast` number, since 18 + 9 + 90 + 41 + 12 + 496 = 666.

189904112496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10457425 + ... + 10475568.

Almost surely, 2189904112496 is an apocalyptic number.

189904112496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

189904112496 is an abundant number, since it is smaller than the sum of its proper divisors (438253171456).

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

189904112496 is a wasteful number, since it uses less digits than its factorization.

189904112496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20933020 (or 20933005 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 189904112496 in words is "one hundred eighty-nine billion, nine hundred four million, one hundred twelve thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 9072 20932993 41865986 62798979 83731972 125597958 146530951 167463944 188396937 251195916 293061902 334927888 376793874 439592853 502391832 565190811 586123804 753587748 879185706 1004783664 1130381622 1172247608 1318778559 1507175496 1695572433 1758371412 2260763244 2344495216 2637557118 3014350992 3391144866 3516742824 3956335677 4521526488 5275114236 6782289732 7033485648 7912671354 9043052976 10550228472 11869007031 13564579464 15825342708 21100456944 23738014062 27129158928 31650685416 47476028124 63301370832 94952056248 189904112496