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6494078976 = 211372113753
BaseRepresentation
bin1100000110001001…
…11100100000000000
3121202120202101121120
412003010330200000
5101244441011401
62552222352240
7316633521600
oct60304744000
917676671546
106494078976
112832813720
121312a2b680
137c6559aa8
144586a2c00
152801d1836
hex18313c800

6494078976 has 576 divisors, whose sum is σ = 22990443840. Its totient is φ = 1610219520.

The previous prime is 6494078959. The next prime is 6494079019. The reversal of 6494078976 is 6798704946.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122529766 + ... + 122529818.

It is an arithmetic number, because the mean of its divisors is an integer number (39913965).

Almost surely, 26494078976 is an apocalyptic number.

6494078976 is a gapful number since it is divisible by the number (66) 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 6494078976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11495221920).

6494078976 is an abundant number, since it is smaller than the sum of its proper divisors (16496364864).

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

6494078976 is a wasteful number, since it uses less digits than its factorization.

6494078976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The square root of 6494078976 is about 80585.8484847060. The cubic root of 6494078976 is about 1865.6887322004.

It can be divided in two parts, 64940 and 78976, that added together give a triangular number (143916 = T536).

The spelling of 6494078976 in words is "six billion, four hundred ninety-four million, seventy-eight thousand, nine hundred seventy-six".