Search a number
-
+
1999842091632 = 24337112171916921
BaseRepresentation
bin11101000110011111111…
…000001010001001110000
321002011221102201021102000
4131012133320022021300
5230231134033413012
64130414220254000
7264324644206560
oct35063770121160
97064842637360
101999842091632
117011457a7a00
122836bb0a1300
13116779926978
146cb15906da0
15370491d9ddc
hex1d19fe0a270

1999842091632 has 960 divisors, whose sum is σ = 8037435571200. Its totient is φ = 463126118400.

The previous prime is 1999842091627. The next prime is 1999842091661. The reversal of 1999842091632 is 2361902489991.

1999842091632 is a `hidden beast` number, since 1 + 9 + 9 + 98 + 420 + 91 + 6 + 32 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1999842091632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 118178532 + ... + 118195452.

It is an arithmetic number, because the mean of its divisors is an integer number (8372328720).

Almost surely, 21999842091632 is an apocalyptic number.

1999842091632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1999842091632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4018717785600).

1999842091632 is an abundant number, since it is smaller than the sum of its proper divisors (6037593479568).

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

1999842091632 is a wasteful number, since it uses less digits than its factorization.

1999842091632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17003 (or 16980 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The spelling of 1999842091632 in words is "one trillion, nine hundred ninety-nine billion, eight hundred forty-two million, ninety-one thousand, six hundred thirty-two".