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10048534080 = 2635131747363
BaseRepresentation
bin10010101101111000…
…00111011001000000
3221221022002102100220
421112330013121000
5131034411042310
64341034543040
7504004062504
oct112674073100
927838072326
1010048534080
114297154422
121b45297a80
13c41a81570
146b4798304
153dc298670
hex256f07640

10048534080 has 224 divisors, whose sum is σ = 36380098944. Its totient is φ = 2327937024.

The previous prime is 10048534073. The next prime is 10048534117. The reversal of 10048534080 is 8043584001.

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, 188479 + ... + 235841.

It is an arithmetic number, because the mean of its divisors is an integer number (162411156).

Almost surely, 210048534080 is an apocalyptic number.

10048534080 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 10048534080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18190049472).

10048534080 is an abundant number, since it is smaller than the sum of its proper divisors (26331564864).

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

10048534080 is a wasteful number, since it uses less digits than its factorization.

10048534080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47413 (or 47403 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 10048534080 in words is "ten billion, forty-eight million, five hundred thirty-four thousand, eighty".