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161401003191 = 3353167727929
BaseRepresentation
bin1001011001010000111…
…1111101110010110111
3120102121022110111002000
42112110033331302313
510121022124100231
6202051355350343
714442444614421
oct2262417756267
9512538414060
10161401003191
11624a472763a
1227344a523b3
13122b25a9bac
147b51a07811
1542e997e6e6
hex25943fdcb7

161401003191 has 64 divisors (see below), whose sum is σ = 245684275200. Its totient is φ = 104681161728.

The previous prime is 161401003147. The next prime is 161401003201. The reversal of 161401003191 is 191300104161.

161401003191 is a `hidden beast` number, since 1 + 614 + 0 + 10 + 0 + 31 + 9 + 1 = 666.

It is not a de Polignac number, because 161401003191 - 213 = 161400994999 is a prime.

It is a super-2 number, since 2×1614010031912 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161401003121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173735815 + ... + 173736743.

It is an arithmetic number, because the mean of its divisors is an integer number (3838816800).

Almost surely, 2161401003191 is an apocalyptic number.

161401003191 is a deficient number, since it is larger than the sum of its proper divisors (84283272009).

161401003191 is a wasteful number, since it uses less digits than its factorization.

161401003191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 161401003191 in words is "one hundred sixty-one billion, four hundred one million, three thousand, one hundred ninety-one".

Divisors: 1 3 9 27 53 159 167 477 501 727 929 1431 1503 2181 2787 4509 6543 8361 8851 19629 25083 26553 38531 49237 79659 115593 121409 147711 155143 238977 346779 364227 443133 465429 675383 1040337 1092681 1329399 1396287 2026149 3278043 4188861 6078447 6434677 8222579 18235341 19304031 24667737 35795299 57912093 74003211 107385897 112788961 173736279 222009633 322157691 338366883 966473073 1015100649 3045301947 5977814933 17933444799 53800334397 161401003191