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10012246536124 = 22723292087256877
BaseRepresentation
bin1001000110110010100001…
…1001011110111110111100
31022110011100200020202011101
42101230220121132332330
52303020040103123444
633143321302502444
72052234542235250
oct221545031367674
938404320222141
1010012246536124
113210196172958
121158535134a24
135781c63bbbc1
142688497a4260
151256951613d4
hex91b2865efbc

10012246536124 has 96 divisors (see below), whose sum is σ = 21626086164480. Its totient is φ = 3960953939712.

The previous prime is 10012246536067. The next prime is 10012246536139. The reversal of 10012246536124 is 42163564221001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38848374 + ... + 39105250.

It is an arithmetic number, because the mean of its divisors is an integer number (225271730880).

Almost surely, 210012246536124 is an apocalyptic number.

10012246536124 is a gapful number since it is divisible by the number (14) 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 10012246536124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10813043082240).

10012246536124 is an abundant number, since it is smaller than the sum of its proper divisors (11613839628356).

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

10012246536124 is a wasteful number, since it uses less digits than its factorization.

10012246536124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259027 (or 259025 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 10012246536124 in words is "ten trillion, twelve billion, two hundred forty-six million, five hundred thirty-six thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 23 28 29 46 58 92 116 161 203 322 406 644 667 812 1334 2087 2668 4174 4669 8348 9338 14609 18676 29218 48001 58436 60523 96002 121046 192004 242092 256877 336007 423661 513754 672014 847322 1027508 1344028 1392029 1694644 1798139 2784058 3596278 5568116 5908171 7192556 7449433 9744203 11816342 14898866 19488406 23632684 29797732 38976812 41357197 52146031 82714394 104292062 165428788 171336959 208584124 342673918 536102299 685347836 1072204598 1199358713 2144409196 2398717426 3752716093 4797434852 7505432186 12330352877 15010864372 15546966671 24660705754 31093933342 49321411508 62187866684 86312470139 108828766697 172624940278 217657533394 345249880556 357580233433 435315066788 715160466866 1430320933732 2503061634031 5006123268062 10012246536124