Search a number
-
+
105380005848 = 23313477186307
BaseRepresentation
bin110001000100100100…
…0110100011111011000
3101002000010001221211120
41202021020310133120
53211304240141343
6120224431125240
710420262161515
oct1421110643730
9332003057746
10105380005848
11407672a2127
121850b673820
139c252cc060
1451597a030c
152b1b705683
hex18892347d8

105380005848 has 64 divisors (see below), whose sum is σ = 289751938560. Its totient is φ = 31734727296.

The previous prime is 105380005847. The next prime is 105380005853. The reversal of 105380005848 is 848500083501.

It is a super-2 number, since 2×1053800058482 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105380005847) 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, 3578490 + ... + 3607817.

It is an arithmetic number, because the mean of its divisors is an integer number (4527374040).

Almost surely, 2105380005848 is an apocalyptic number.

It is an amenable number.

105380005848 is an abundant number, since it is smaller than the sum of its proper divisors (184371932712).

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

105380005848 is a wasteful number, since it uses less digits than its factorization.

105380005848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7186376 (or 7186372 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The spelling of 105380005848 in words is "one hundred five billion, three hundred eighty million, five thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 47 52 78 94 104 141 156 188 282 312 376 564 611 1128 1222 1833 2444 3666 4888 7332 14664 7186307 14372614 21558921 28745228 43117842 57490456 86235684 93421991 172471368 186843982 280265973 337756429 373687964 560531946 675512858 747375928 1013269287 1121063892 1351025716 2026538574 2242127784 2702051432 4053077148 4390833577 8106154296 8781667154 13172500731 17563334308 26345001462 35126668616 52690002924 105380005848