Search a number
-
+
1993043704392 = 233513238574001
BaseRepresentation
bin11101000000001010101…
…010010111101001001000
321001112101122100102100000
4131000022222113221020
5230123223142020032
64123331443243000
7263664323652606
oct35001252275110
97045348312300
101993043704392
116a9277237a54
12282322379460
13115c35321120
146c66ca6c876
1536c9c447e7c
hex1d00aa97a48

1993043704392 has 384 divisors, whose sum is σ = 6299358024960. Its totient is φ = 585750528000.

The previous prime is 1993043704373. The next prime is 1993043704411. The reversal of 1993043704392 is 2934073403991.

It is a happy number.

1993043704392 is a `hidden beast` number, since 1 + 99 + 30 + 437 + 0 + 4 + 3 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (1993043704373) and next prime (1993043704411).

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 498134392 + ... + 498138392.

It is an arithmetic number, because the mean of its divisors is an integer number (16404578190).

Almost surely, 21993043704392 is an apocalyptic number.

1993043704392 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 1993043704392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149679012480).

1993043704392 is an abundant number, since it is smaller than the sum of its proper divisors (4306314320568).

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

1993043704392 is a wasteful number, since it uses less digits than its factorization.

1993043704392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4915 (or 4899 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 1993043704392 in words is "one trillion, nine hundred ninety-three billion, forty-three million, seven hundred four thousand, three hundred ninety-two".