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993153758041 = 9965712
BaseRepresentation
bin11100111001111001001…
…00111011001101011001
310111221111121000022002001
432130330210323031121
5112232434330224131
62040125403441001
7131516163440644
oct16347444731531
93457447008061
10993153758041
1135321544aa95
12140591226161
1372866aa91b3
14360d70b2a5b
151ac7a6c0261
hexe73c93b359

993153758041 has 3 divisors (see below), whose sum is σ = 993154754613. Its totient is φ = 993152761470.

The previous prime is 993153757993. The next prime is 993153758059. The reversal of 993153758041 is 140857351399.

The square root of 993153758041 is 996571.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 993153758041 - 219 = 993153233753 is a prime.

It is a super-2 number, since 2×9931537580412 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (993153728041) 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 2 ways as a sum of consecutive naturals, for example, 498286 + ... + 1494856.

It is an arithmetic number, because the mean of its divisors is an integer number (331051584871).

Almost surely, 2993153758041 is an apocalyptic number.

993153758041 is the 996571-st square number.

993153758041 is the 498286-th centered octagonal number.

It is an amenable number.

993153758041 is a deficient number, since it is larger than the sum of its proper divisors (996572).

993153758041 is an frugal number, since it uses more digits than its factorization.

993153758041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993142 (or 996571 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 55.

The spelling of 993153758041 in words is "nine hundred ninety-three billion, one hundred fifty-three million, seven hundred fifty-eight thousand, forty-one".

Divisors: 1 996571 993153758041