Search a number
-
+
10058515544 = 2371116797777
BaseRepresentation
bin10010101111000100…
…01100010001011000
3221221222212112100202
421113202030101120
5131044434444134
64342032521332
7504154654130
oct112742142130
927858775322
1010058515544
1142a1851670
121b486b0248
13c43b6785c
146b5c35ac0
153dd0bad7e
hex25788c458

10058515544 has 64 divisors (see below), whose sum is σ = 23654453760. Its totient is φ = 3895395840.

The previous prime is 10058515487. The next prime is 10058515547. The reversal of 10058515544 is 44551585001.

It is a junction number, because it is equal to n+sod(n) for n = 10058515498 and 10058515507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10058515547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53984 + ... + 151760.

It is an arithmetic number, because the mean of its divisors is an integer number (369600840).

Almost surely, 210058515544 is an apocalyptic number.

10058515544 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 10058515544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11827226880).

10058515544 is an abundant number, since it is smaller than the sum of its proper divisors (13595938216).

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

10058515544 is a wasteful number, since it uses less digits than its factorization.

10058515544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97968 (or 97964 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 38.

The spelling of 10058515544 in words is "ten billion, fifty-eight million, five hundred fifteen thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 167 308 334 616 668 1169 1336 1837 2338 3674 4676 7348 9352 12859 14696 25718 51436 97777 102872 195554 391108 684439 782216 1075547 1368878 2151094 2737756 4302188 5475512 7528829 8604376 15057658 16328759 30115316 32657518 60230632 65315036 114301313 130630072 179616349 228602626 359232698 457205252 718465396 914410504 1257314443 1436930792 2514628886 5029257772 10058515544