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5768511420672 = 2833711131749043
BaseRepresentation
bin101001111110001011000…
…0100101111100100000000
3202102110112110221022002000
41103330112010233210000
51224002402410430142
620134003443224000
71133522043024660
oct123742604574400
922373473838060
105768511420672
111924459348580
12791b86978000
1332ac78454980
1415d2a9ad41a0
15a00bb39914c
hex53f1612f900

5768511420672 has 1152 divisors, whose sum is σ = 24251496837120. Its totient is φ = 1301676687360.

The previous prime is 5768511420643. The next prime is 5768511420697. The reversal of 5768511420672 is 2760241158675.

It is a happy number.

5768511420672 is a `hidden beast` number, since 5 + 7 + 68 + 511 + 4 + 2 + 0 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 117596983 + ... + 117646025.

It is an arithmetic number, because the mean of its divisors is an integer number (21051646560).

Almost surely, 25768511420672 is an apocalyptic number.

5768511420672 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 5768511420672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12125748418560).

5768511420672 is an abundant number, since it is smaller than the sum of its proper divisors (18482985416448).

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

5768511420672 is a wasteful number, since it uses less digits than its factorization.

5768511420672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49116 (or 49096 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 5768511420672 in words is "five trillion, seven hundred sixty-eight billion, five hundred eleven million, four hundred twenty thousand, six hundred seventy-two".