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276663674904100 = 225211289216992
BaseRepresentation
bin111110111001111111001000…
…000100001001111000100100
31100021120210022012012201012221
4332321333020010021320210
5242230324201233412400
62420225312044322124
7112163201530146631
oct7671771004117044
91307523265181187
10276663674904100
1180176450970300
1227043334b43344
13bb4b370b87c03
144c4684409d188
1521eb9cca48c1a
hexfb9fc8109e24

276663674904100 has 243 divisors, whose sum is σ = 667790993094771. Its totient is φ = 99416030841600.

The previous prime is 276663674904047. The next prime is 276663674904119. The reversal of 276663674904100 is 1409476366672.

The square root of 276663674904100 is 16633210.

It is a perfect power (a square), and thus also a powerful number.

276663674904100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 57573707254756 + 219089967649344 = 7587734^2 + 14801688^2 .

It is a super-2 number, since 2×2766636749041002 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 162839125051 + ... + 162839126749.

Almost surely, 2276663674904100 is an apocalyptic number.

276663674904100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

276663674904100 is the 16633210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 276663674904100

276663674904100 is an abundant number, since it is smaller than the sum of its proper divisors (391127318190671).

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

276663674904100 is an equidigital number, since it uses as much as digits as its factorization.

276663674904100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3612 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 61.

The spelling of 276663674904100 in words is "two hundred seventy-six trillion, six hundred sixty-three billion, six hundred seventy-four million, nine hundred four thousand, one hundred".