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10110485749104 = 24331331337389443
BaseRepresentation
bin1001001100100000011111…
…1010010101110101110000
31022210112221010122211201000
42103020013322111311300
52311122233322432404
633300405410042000
72062313155616016
oct223100772256560
938715833584630
1010110485749104
113248918697674
121173591279300
1358455118ab20
1426d4c8a388b6
15127ee49db339
hex93207e95d70

10110485749104 has 640 divisors, whose sum is σ = 32513519001600. Its totient is φ = 2987158487040.

The previous prime is 10110485749061. The next prime is 10110485749121. The reversal of 10110485749104 is 40194758401101.

10110485749104 is a `hidden beast` number, since 1 + 0 + 1 + 10 + 485 + 74 + 91 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10110485749104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22822766707 + ... + 22822767149.

It is an arithmetic number, because the mean of its divisors is an integer number (50802373440).

Almost surely, 210110485749104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10110485749104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16256759500800).

10110485749104 is an abundant number, since it is smaller than the sum of its proper divisors (22403033252496).

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

10110485749104 is a wasteful number, since it uses less digits than its factorization.

10110485749104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 10110485749104 in words is "ten trillion, one hundred ten billion, four hundred eighty-five million, seven hundred forty-nine thousand, one hundred four".