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6485511240 = 2334513314967
BaseRepresentation
bin1100000101001000…
…10000110001001000
3121201222122002220000
412002210100301020
5101240242324430
62551315003000
7316500636015
oct60244206110
917658562800
106485511240
1128289a164a
12130bb99460
137c484a120
144574b270c
1527e58ce60
hex182910c48

6485511240 has 320 divisors, whose sum is σ = 24237480960. Its totient is φ = 1544624640.

The previous prime is 6485511239. The next prime is 6485511289. The reversal of 6485511240 is 421155846.

It is a happy number.

6485511240 is a `hidden beast` number, since 6 + 485 + 51 + 124 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6485511195 and 6485511204.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1303237 + ... + 1308203.

It is an arithmetic number, because the mean of its divisors is an integer number (75742128).

Almost surely, 26485511240 is an apocalyptic number.

6485511240 is a gapful number since it is divisible by the number (60) 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 6485511240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12118740480).

6485511240 is an abundant number, since it is smaller than the sum of its proper divisors (17751969720).

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

6485511240 is a wasteful number, since it uses less digits than its factorization.

6485511240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5034 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 6485511240 is about 80532.6718791821. The cubic root of 6485511240 is about 1864.8678940512.

The spelling of 6485511240 in words is "six billion, four hundred eighty-five million, five hundred eleven thousand, two hundred forty".