Search a number
-
+
104782233620 = 22537149394841
BaseRepresentation
bin110000110010110000…
…0100000000000010100
3101000110110020222111102
41201211200200000110
53204043222433440
6120045234525232
710366413201401
oct1414540400024
9330413228442
10104782233620
114048a925a99
1218383436818
139b5b50348c
1451002372a8
152ad3ec7b15
hex1865820014

104782233620 has 48 divisors (see below), whose sum is σ = 226143541008. Its totient is φ = 40752368640.

The previous prime is 104782233587. The next prime is 104782233629. The reversal of 104782233620 is 26332287401.

It can be written as a sum of positive squares in 8 ways, for example, as 22360417156 + 82421816464 = 149534^2 + 287092^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104782233629) 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, 1057400 + ... + 1152240.

It is an arithmetic number, because the mean of its divisors is an integer number (4711323771).

Almost surely, 2104782233620 is an apocalyptic number.

104782233620 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 104782233620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113071770504).

104782233620 is an abundant number, since it is smaller than the sum of its proper divisors (121361307388).

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

104782233620 is a wasteful number, since it uses less digits than its factorization.

104782233620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96380 (or 96378 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The spelling of 104782233620 in words is "one hundred four billion, seven hundred eighty-two million, two hundred thirty-three thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 1493 2986 5972 7465 14930 29860 55241 94841 110482 189682 220964 276205 379364 474205 552410 948410 1104820 1896820 3509117 7018234 14036468 17545585 35091170 70182340 141597613 283195226 566390452 707988065 1415976130 2831952260 5239111681 10478223362 20956446724 26195558405 52391116810 104782233620