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10541490488928 = 25367293171807
BaseRepresentation
bin1001100101100110000111…
…0010111100011001100000
31101022202102121010012000000
42121121201302330121200
52340202433031121203
634230405513300000
72135411650510350
oct231314162743140
941282377105000
1010541490488928
1133a4691623993
121223017a04600
135b609b09a959
142862d4868b60
1513431d3294a3
hex99661cbc660

10541490488928 has 672 divisors, whose sum is σ = 37974735912960. Its totient is φ = 2814151818240.

The previous prime is 10541490488927. The next prime is 10541490489031. The reversal of 10541490488928 is 82988409414501.

10541490488928 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 1 + 490 + 48 + 89 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×105414904889282 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10541490488927) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 146767201 + ... + 146839007.

It is an arithmetic number, because the mean of its divisors is an integer number (56510023680).

Almost surely, 210541490488928 is an apocalyptic number.

10541490488928 is a gapful number since it is divisible by the number (18) 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 10541490488928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18987367956480).

10541490488928 is an abundant number, since it is smaller than the sum of its proper divisors (27433245424032).

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

10541490488928 is an equidigital number, since it uses as much as digits as its factorization.

10541490488928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71902 (or 71879 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 10541490488928 in words is "ten trillion, five hundred forty-one billion, four hundred ninety million, four hundred eighty-eight thousand, nine hundred twenty-eight".