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6540276078 = 2327210371993
BaseRepresentation
bin1100001011101010…
…01011000101101110
3121212210200110010100
412011311023011232
5101343302313303
63000552451530
7321034300200
oct60565130556
917783613110
106540276078
1128568a7246
1213263a9ba6
13802cb325b
1446088a770
152842a98a3
hex185d4b16e

6540276078 has 72 divisors (see below), whose sum is σ = 16644436848. Its totient is φ = 1850482368.

The previous prime is 6540275999. The next prime is 6540276133. The reversal of 6540276078 is 8706720456.

It is a super-2 number, since 2×65402760782 = 85550422352918124168, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54850 + ... + 126842.

It is an arithmetic number, because the mean of its divisors is an integer number (231172734).

Almost surely, 26540276078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6540276078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8322218424).

6540276078 is an abundant number, since it is smaller than the sum of its proper divisors (10104160770).

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

6540276078 is a wasteful number, since it uses less digits than its factorization.

6540276078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72118 (or 72108 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 6540276078 is about 80871.9733776789. The cubic root of 6540276078 is about 1870.1022829085.

The spelling of 6540276078 in words is "six billion, five hundred forty million, two hundred seventy-six thousand, seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 103 126 147 206 294 309 441 618 721 882 927 1442 1854 2163 4326 5047 6489 10094 12978 15141 30282 45423 71993 90846 143986 215979 431958 503951 647937 1007902 1295874 1511853 3023706 3527657 4535559 7055314 7415279 9071118 10582971 14830558 21165942 22245837 31748913 44491674 51906953 63497826 66737511 103813906 133475022 155720859 311441718 363348671 467162577 726697342 934325154 1090046013 2180092026 3270138039 6540276078