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10043133408 = 2533711150961
BaseRepresentation
bin10010101101001111…
…00000110111100000
3221220220221001001000
421112213200313200
5131032020232113
64340323112000
7503610140220
oct112647406740
927826831030
1010043133408
1142940a5860
121b43512600
13c409102b9
146b3b90080
153dba7d373
hex2569e0de0

10043133408 has 192 divisors, whose sum is σ = 36520727040. Its totient is φ = 2608588800.

The previous prime is 10043133407. The next prime is 10043133427. The reversal of 10043133408 is 80433134001.

10043133408 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 313 + 340 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10043133407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8953 + ... + 142008.

It is an arithmetic number, because the mean of its divisors is an integer number (190212120).

Almost surely, 210043133408 is an apocalyptic number.

10043133408 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 10043133408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18260363520).

10043133408 is an abundant number, since it is smaller than the sum of its proper divisors (26477593632).

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

10043133408 is a wasteful number, since it uses less digits than its factorization.

10043133408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150998 (or 150984 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10043133408 its reverse (80433134001), we get a palindrome (90476267409).

The spelling of 10043133408 in words is "ten billion, forty-three million, one hundred thirty-three thousand, four hundred eight".