Search a number
-
+
105650649980 = 22543169972307
BaseRepresentation
bin110001001100101000…
…1001111101101111100
3101002200222100002210022
41202121101033231330
53212333031244410
6120311340031312
710430056464461
oct1423121175574
9332628302708
10105650649980
1140896046067
1218586232538
139c693bc105
1451836d1668
152b35366455
hex189944fb7c

105650649980 has 48 divisors (see below), whose sum is σ = 227162812800. Its totient is φ = 41252597568.

The previous prime is 105650649977. The next prime is 105650650003. The reversal of 105650649980 is 89946056501.

It is a happy number.

It is a super-2 number, since 2×1056506499802 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1424987 + ... + 1497293.

It is an arithmetic number, because the mean of its divisors is an integer number (4732558600).

Almost surely, 2105650649980 is an apocalyptic number.

105650649980 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 105650649980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113581406400).

105650649980 is an abundant number, since it is smaller than the sum of its proper divisors (121512162820).

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

105650649980 is a wasteful number, since it uses less digits than its factorization.

105650649980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74058 (or 74056 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 53.

The spelling of 105650649980 in words is "one hundred five billion, six hundred fifty million, six hundred forty-nine thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 1699 3398 6796 8495 16990 33980 72307 73057 144614 146114 289228 292228 361535 365285 723070 730570 1446140 1461140 3109201 6218402 12436804 15546005 31092010 62184020 122849593 245699186 491398372 614247965 1228495930 2456991860 5282532499 10565064998 21130129996 26412662495 52825324990 105650649980