Search a number
-
+
1901601606042 = 2321303211338371
BaseRepresentation
bin11011101011000000010…
…010011100100110011010
320201210100212220112011200
4123223000102130212122
5222123440002343132
64013330025535030
7254246313645645
oct33530022344632
96653325815150
101901601606042
11673512594046
12268662644476
1310a421800718
1468076420a5c
15346e96acd7c
hex1bac049c99a

1901601606042 has 48 divisors (see below), whose sum is σ = 4125357757248. Its totient is φ = 633064481280.

The previous prime is 1901601606019. The next prime is 1901601606049. The reversal of 1901601606042 is 2406061061091.

1901601606042 is a `hidden beast` number, since 1 + 9 + 0 + 1 + 6 + 0 + 1 + 606 + 0 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1901601605988 and 1901601606006.

It is not an unprimeable number, because it can be changed into a prime (1901601606049) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 49539117 + ... + 49577487.

It is an arithmetic number, because the mean of its divisors is an integer number (85944953276).

Almost surely, 21901601606042 is an apocalyptic number.

1901601606042 is an abundant number, since it is smaller than the sum of its proper divisors (2223756151206).

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

1901601606042 is a wasteful number, since it uses less digits than its factorization.

1901601606042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41795 (or 41792 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 1901601606042 in words is "one trillion, nine hundred one billion, six hundred one million, six hundred six thousand, forty-two".

Divisors: 1 2 3 6 9 18 1303 2113 2606 3909 4226 6339 7818 11727 12678 19017 23454 38034 38371 76742 115113 230226 345339 690678 2753239 5506478 8259717 16519434 24779151 49558302 49997413 81077923 99994826 149992239 162155846 243233769 299984478 449976717 486467538 729701307 899953434 1459402614 105644533669 211289067338 316933601007 633867202014 950800803021 1901601606042