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10491227712 = 2632723311123
BaseRepresentation
bin10011100010101001…
…10110111001000000
31000002011002120212100
421301110312321000
5132441223241322
64453011230400
7520660651500
oct116124667100
930064076770
1010491227712
1144a402a729
1220495a8400
13cb26c0764
147174b3a00
15416091dac
hex271536e40

10491227712 has 252 divisors, whose sum is σ = 35117720976. Its totient is φ = 2985776640.

The previous prime is 10491227689. The next prime is 10491227713. The reversal of 10491227712 is 21772219401.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×104912277122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10491227713) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9341583 + ... + 9342705.

Almost surely, 210491227712 is an apocalyptic number.

10491227712 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 10491227712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17558860488).

10491227712 is an abundant number, since it is smaller than the sum of its proper divisors (24626493264).

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

10491227712 is a wasteful number, since it uses less digits than its factorization.

10491227712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 10491227712 in words is "ten billion, four hundred ninety-one million, two hundred twenty-seven thousand, seven hundred twelve".