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10376043104 = 257431099883
BaseRepresentation
bin10011010100111010…
…11101101001100000
3222210010100121021202
421222131131221200
5132222231334404
64433334340332
7515061624350
oct115235355140
928703317252
1010376043104
114445007839
122016aba6a8
13c9489159b
1470608cb60
1540addd21e
hex26a75da60

10376043104 has 96 divisors (see below), whose sum is σ = 24110634240. Its totient is φ = 4303176192.

The previous prime is 10376043101. The next prime is 10376043133. The reversal of 10376043104 is 40134067301.

10376043104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10376043101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1044947 + ... + 1054829.

It is an arithmetic number, because the mean of its divisors is an integer number (251152440).

Almost surely, 210376043104 is an apocalyptic number.

10376043104 is a gapful number since it is divisible by the number (14) 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 10376043104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12055317120).

10376043104 is an abundant number, since it is smaller than the sum of its proper divisors (13734591136).

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

10376043104 is a wasteful number, since it uses less digits than its factorization.

10376043104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10052 (or 10044 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The spelling of 10376043104 in words is "ten billion, three hundred seventy-six million, forty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 109 112 172 218 224 301 344 436 602 688 763 872 1204 1376 1526 1744 2408 3052 3488 4687 4816 6104 9374 9632 9883 12208 18748 19766 24416 32809 37496 39532 65618 69181 74992 79064 131236 138362 149984 158128 262472 276724 316256 424969 524944 553448 849938 1049888 1077247 1106896 1699876 2154494 2213792 2974783 3399752 4308988 5949566 6799504 7540729 8617976 11899132 13599008 15081458 17235952 23798264 30162916 34471904 46321621 47596528 60325832 92643242 95193056 120651664 185286484 241303328 324251347 370572968 648502694 741145936 1297005388 1482291872 2594010776 5188021552 10376043104