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10491976320 = 2735719181227
BaseRepresentation
bin10011100010101111…
…01101101010000000
31000002012111121202120
421301113231222000
5132441421220240
64453035244240
7521000220150
oct116127555200
930065447676
1010491976320
1144a44a1111
1220498a9680
13cb28c3417
1471762a760
1541618dad0
hex2715eda80

10491976320 has 512 divisors, whose sum is σ = 40632883200. Its totient is φ = 2249441280.

The previous prime is 10491976277. The next prime is 10491976403. The reversal of 10491976320 is 2367919401.

It is a super-2 number, since 2×104919763202 (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46220047 + ... + 46220273.

It is an arithmetic number, because the mean of its divisors is an integer number (79361100).

Almost surely, 210491976320 is an apocalyptic number.

10491976320 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 10491976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20316441600).

10491976320 is an abundant number, since it is smaller than the sum of its proper divisors (30140906880).

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

10491976320 is a wasteful number, since it uses less digits than its factorization.

10491976320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 10491976320 in words is "ten billion, four hundred ninety-one million, nine hundred seventy-six thousand, three hundred twenty".