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10375000038 = 23213292396397
BaseRepresentation
bin10011010100110010…
…11110111111100110
3222210001101121110200
421222121132333212
5132222000000123
64433300131330
7515050021344
oct115231367746
928701347420
1010375000038
1144444650a7
122016696b46
13c945b78a0
14705c9a994
1540ac84143
hex26a65efe6

10375000038 has 96 divisors (see below), whose sum is σ = 25151817600. Its totient is φ = 3068851968.

The previous prime is 10374999997. The next prime is 10375000039. The reversal of 10375000038 is 83000057301.

It is a junction number, because it is equal to n+sod(n) for n = 10374999975 and 10375000020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10375000039) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1618656 + ... + 1625052.

It is an arithmetic number, because the mean of its divisors is an integer number (261998100).

Almost surely, 210375000038 is an apocalyptic number.

10375000038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10375000038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12575908800).

10375000038 is an abundant number, since it is smaller than the sum of its proper divisors (14776817562).

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

10375000038 is a wasteful number, since it uses less digits than its factorization.

10375000038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6686 (or 6683 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 10375000038 its reverse (83000057301), we get a palindrome (93375057339).

The spelling of 10375000038 in words is "ten billion, three hundred seventy-five million, thirty-eight", and thus it is an aban number.

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 239 261 377 478 522 717 754 1131 1434 2151 2262 3107 3393 4302 6214 6397 6786 6931 9321 12794 13862 18642 19191 20793 27963 38382 41586 55926 57573 62379 83161 90103 115146 124758 166322 180206 185513 249483 270309 371026 498966 540618 556539 748449 810927 1113078 1496898 1528883 1621854 1669617 2411669 3057766 3339234 4586649 4823338 7235007 9173298 13759947 14470014 19875479 21705021 27519894 39750958 43410042 44337607 59626437 88675214 119252874 133012821 178879311 266025642 357758622 399038463 576388891 798076926 1152777782 1729166673 3458333346 5187500019 10375000038