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276534881064672 = 25323666118802319
BaseRepresentation
bin111110111000000111001011…
…010110101001011011100000
31100021010110212022212202211220
4332320013023112221123200
5242221221414023032142
62420050212013335040
7112150662100446456
oct7670071326513340
91307113768782756
10276534881064672
118012686a12549a
1227022390197480
13bb3c186b53979
144c40506c889d6
1521e8490a3b2ec
hexfb81cb5a96e0

276534881064672 has 96 divisors (see below), whose sum is σ = 757578865720320. Its totient is φ = 88157300267520.

The previous prime is 276534881064643. The next prime is 276534881064677. The reversal of 276534881064672 is 276460188435672.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a junction number, because it is equal to n+sod(n) for n = 276534881064597 and 276534881064606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (276534881064677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5306329 + ... + 24108647.

It is an arithmetic number, because the mean of its divisors is an integer number (7891446517920).

Almost surely, 2276534881064672 is an apocalyptic number.

It is an amenable number.

276534881064672 is an abundant number, since it is smaller than the sum of its proper divisors (481043984655648).

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

276534881064672 is a wasteful number, since it uses less digits than its factorization.

276534881064672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18809016 (or 18809008 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 69.

The spelling of 276534881064672 in words is "two hundred seventy-six trillion, five hundred thirty-four billion, eight hundred eighty-one million, sixty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 6661 13322 19983 26644 39966 53288 79932 106576 153203 159864 213152 306406 319728 459609 612812 639456 919218 1225624 1838436 2451248 3676872 4902496 7353744 14707488 18802319 37604638 56406957 75209276 112813914 150418552 225627828 300837104 432453337 451255656 601674208 864906674 902511312 1297360011 1729813348 1805022624 2594720022 3459626696 5189440044 6919253392 10378880088 13838506784 20757760176 41515520352 125242246859 250484493718 375726740577 500968987436 751453481154 1001937974872 1502906962308 2003875949744 2880571677757 3005813924616 4007751899488 5761143355514 6011627849232 8641715033271 11522286711028 12023255698464 17283430066542 23044573422056 34566860133084 46089146844112 69133720266168 92178293688224 138267440532336 276534881064672