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10044747804672 = 212327194574483
BaseRepresentation
bin1001001000101011100110…
…0111111111000000000000
31022120021020202010020221100
42102022321213333000000
52304033120414222142
633210254325454400
72054465133405240
oct222127147770000
938507222106840
1010044747804672
113222a542a6a79
1211628a5871400
1357b2a5a38959
1426a2500adb20
15126448666b4c
hex922b99ff000

10044747804672 has 624 divisors, whose sum is σ = 34988984892160. Its totient is φ = 2712324538368.

The previous prime is 10044747804643. The next prime is 10044747804677. The reversal of 10044747804672 is 27640874744001.

10044747804672 is a `hidden beast` number, since 1 + 0 + 0 + 44 + 74 + 78 + 0 + 467 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10044747804677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2240628543 + ... + 2240633025.

Almost surely, 210044747804672 is an apocalyptic number.

10044747804672 is a gapful number since it is divisible by the number (12) 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 10044747804672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17494492446080).

10044747804672 is an abundant number, since it is smaller than the sum of its proper divisors (24944237087488).

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

10044747804672 is a wasteful number, since it uses less digits than its factorization.

10044747804672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4996 (or 4971 counting only the distinct ones).

The product of its (nonzero) digits is 8429568, while the sum is 54.

The spelling of 10044747804672 in words is "ten trillion, forty-four billion, seven hundred forty-seven million, eight hundred four thousand, six hundred seventy-two".