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10041833880 = 23325134771643
BaseRepresentation
bin10010101101000101…
…00011100110011000
3221220211111000102100
421112202203212120
5131031202141010
64340235203400
7503563115421
oct112642434630
927824430370
1010041833880
114293398471
121b42ba6560
13c40576950
146b3932648
153db8c32c0
hex2568a3998

10041833880 has 384 divisors, whose sum is σ = 36456376320. Its totient is φ = 2381460480.

The previous prime is 10041833873. The next prime is 10041833881. The reversal of 10041833880 is 8833814001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10041833881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15616839 + ... + 15617481.

It is an arithmetic number, because the mean of its divisors is an integer number (94938480).

Almost surely, 210041833880 is an apocalyptic number.

10041833880 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 10041833880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18228188160).

10041833880 is an abundant number, since it is smaller than the sum of its proper divisors (26414542440).

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

10041833880 is a wasteful number, since it uses less digits than its factorization.

10041833880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 10041833880 in words is "ten billion, forty-one million, eight hundred thirty-three thousand, eight hundred eighty".