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2706913543488 = 263711457400651
BaseRepresentation
bin100111011001000000100…
…111101100010101000000
3100120210000110101122110020
4213121000213230111000
5323322224331342423
65431312223333440
7366365561324040
oct47310047542500
910523013348406
102706913543488
11953aa5142a90
1237874ba51280
1316835112613b
1495030047720
154a62dec24e3
hex276409ec540

2706913543488 has 224 divisors, whose sum is σ = 8948860505088. Its totient is φ = 701554176000.

The previous prime is 2706913543471. The next prime is 2706913543501. The reversal of 2706913543488 is 8843453196072.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×27069135434882 (a number of 26 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 6555963 + ... + 6956613.

It is an arithmetic number, because the mean of its divisors is an integer number (39950270112).

It is a 2-persistent number, because it is pandigital, and so is 2⋅2706913543488 = 5413827086976, but 3⋅2706913543488 = 8120740630464 is not.

Almost surely, 22706913543488 is an apocalyptic number.

2706913543488 is a gapful number since it is divisible by the number (28) 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 2706913543488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4474430252544).

2706913543488 is an abundant number, since it is smaller than the sum of its proper divisors (6241946961600).

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

2706913543488 is a wasteful number, since it uses less digits than its factorization.

2706913543488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401141 (or 401131 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 2706913543488 in words is "two trillion, seven hundred six billion, nine hundred thirteen million, five hundred forty-three thousand, four hundred eighty-eight".