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5487716493792 = 25321317611413439
BaseRepresentation
bin100111111011011010101…
…1001000110100111100000
3201102121202101202001220100
41033312311121012213200
51204402320410300132
615401004441342400
71104321505362201
oct117666531064740
921377671661810
105487716493792
111826366994a35
12747681197a00
1330a649405c70
1414d86d46d5a8
1597b34c8237c
hex4fdb56469e0

5487716493792 has 288 divisors, whose sum is σ = 18086457392640. Its totient is φ = 1563149352960.

The previous prime is 5487716493773. The next prime is 5487716493803. The reversal of 5487716493792 is 2973946177845.

5487716493792 is a `hidden beast` number, since 5 + 48 + 7 + 7 + 1 + 6 + 493 + 7 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 5487716493792.

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, 3175809 + ... + 4589247.

It is an arithmetic number, because the mean of its divisors is an integer number (62800199280).

Almost surely, 25487716493792 is an apocalyptic number.

5487716493792 is a gapful number since it is divisible by the number (52) 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 5487716493792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9043228696320).

5487716493792 is an abundant number, since it is smaller than the sum of its proper divisors (12598740898848).

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

5487716493792 is a wasteful number, since it uses less digits than its factorization.

5487716493792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413546 (or 1413535 counting only the distinct ones).

The product of its digits is 640120320, while the sum is 72.

The spelling of 5487716493792 in words is "five trillion, four hundred eighty-seven billion, seven hundred sixteen million, four hundred ninety-three thousand, seven hundred ninety-two".