Search a number
-
+
5490743956992 = 2935719732003
BaseRepresentation
bin100111111100110100111…
…0101111101011000000000
3201102220120101110010200000
41033321221311331120000
51204430020423110432
615402225110400000
71104456516366420
oct117715165753000
921386511403600
105490743956992
11182767a902938
12748187060000
1330aa0c6b48c8
1414da79584480
1597c6094d57c
hex4fe69d7d600

5490743956992 has 480 divisors, whose sum is σ = 18877151284992. Its totient is φ = 1560771846144.

The previous prime is 5490743956987. The next prime is 5490743957009. The reversal of 5490743956992 is 2996593470945.

5490743956992 is a `hidden beast` number, since 5 + 4 + 90 + 7 + 4 + 395 + 69 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 5490743956992.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 171553663 + ... + 171585665.

Almost surely, 25490743956992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5490743956992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9438575642496).

5490743956992 is an abundant number, since it is smaller than the sum of its proper divisors (13386407328000).

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

5490743956992 is an equidigital number, since it uses as much as digits as its factorization.

5490743956992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32240 (or 32212 counting only the distinct ones).

The product of its (nonzero) digits is 661348800, while the sum is 72.

The spelling of 5490743956992 in words is "five trillion, four hundred ninety billion, seven hundred forty-three million, nine hundred fifty-six thousand, nine hundred ninety-two".