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190097861688 = 23337125726099
BaseRepresentation
bin1011000100001010110…
…1110010110000111000
3200011200020122221101000
42301002231302300320
511103310023033223
6223155120525000
716506542110050
oct2610255626070
9604606587330
10190097861688
1173690318119
1230a13480760
1314c069a7137
1492b4d54560
154e28e97543
hex2c42b72c38

190097861688 has 64 divisors (see below), whose sum is σ = 603485280000. Its totient is φ = 54313674336.

The previous prime is 190097861687. The next prime is 190097861693. The reversal of 190097861688 is 886168790091.

190097861688 is a `hidden beast` number, since 1 + 9 + 0 + 0 + 9 + 7 + 8 + 616 + 8 + 8 = 666.

It is a super-2 number, since 2×1900978616882 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190097861687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62861538 + ... + 62864561.

It is an arithmetic number, because the mean of its divisors is an integer number (9429457500).

Almost surely, 2190097861688 is an apocalyptic number.

190097861688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

190097861688 is an abundant number, since it is smaller than the sum of its proper divisors (413387418312).

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

190097861688 is a wasteful number, since it uses less digits than its factorization.

190097861688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125726121 (or 125726111 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 63.

The spelling of 190097861688 in words is "one hundred ninety billion, ninety-seven million, eight hundred sixty-one thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 125726099 251452198 377178297 502904396 754356594 880082693 1005808792 1131534891 1508713188 1760165386 2263069782 2640248079 3017426376 3394604673 3520330772 4526139564 5280496158 6789209346 7040661544 7920744237 9052279128 10560992316 13578418692 15841488474 21121984632 23762232711 27156837384 31682976948 47524465422 63365953896 95048930844 190097861688