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276056052480 = 28335131973443
BaseRepresentation
bin1000000010001100011…
…10010001001100000000
3222101112211011110121000
410001012032101030000
514010330322134410
6330452435132000
725641632505225
oct4010616211400
9871484143530
10276056052480
11a709049911a
1245602744000
1320055329820
14d50b13794c
1572aa590dc0
hex4046391300

276056052480 has 1152 divisors, whose sum is σ = 1128248755200. Its totient is φ = 63350636544.

The previous prime is 276056052473. The next prime is 276056052533. The reversal of 276056052480 is 84250650672.

276056052480 is a `hidden beast` number, since 2 + 7 + 6 + 0 + 560 + 5 + 2 + 4 + 80 = 666.

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

It is a super-2 number, since 2×2760560524802 (a number of 24 digits) 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 Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 623151139 + ... + 623151581.

It is an arithmetic number, because the mean of its divisors is an integer number (979382600).

Almost surely, 2276056052480 is an apocalyptic number.

276056052480 is a gapful number since it is divisible by the number (20) 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 276056052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564124377600).

276056052480 is an abundant number, since it is smaller than the sum of its proper divisors (852192702720).

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

276056052480 is a wasteful number, since it uses less digits than its factorization.

276056052480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 276056052480 in words is "two hundred seventy-six billion, fifty-six million, fifty-two thousand, four hundred eighty".