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10498246080 = 263572673331
BaseRepresentation
bin10011100011011111…
…01000010111000000
31000002122022011020220
421301233220113000
5133000022333310
64453421503040
7521104422300
oct116157502700
930078264226
1010498246080
1144a7a93733
12204ba11a80
13cb3caa13a
147183bd600
154169cb670
hex271be85c0

10498246080 has 336 divisors, whose sum is σ = 39364407936. Its totient is φ = 2363074560.

The previous prime is 10498246061. The next prime is 10498246093. The reversal of 10498246080 is 8064289401.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×104982460802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3150015 + ... + 3153345.

It is an arithmetic number, because the mean of its divisors is an integer number (117155976).

Almost surely, 210498246080 is an apocalyptic number.

10498246080 is a gapful number since it is divisible by the number (10) 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 10498246080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19682203968).

10498246080 is an abundant number, since it is smaller than the sum of its proper divisors (28866161856).

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

10498246080 is a wasteful number, since it uses less digits than its factorization.

10498246080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3432 (or 3415 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 10498246080 in words is "ten billion, four hundred ninety-eight million, two hundred forty-six thousand, eighty".