Search a number
-
+
10150777818 = 2332397109773
BaseRepresentation
bin10010111010000100…
…01001001111011010
3222012102110221102000
421131002021033122
5131242044342233
64355130221430
7506355121266
oct113502111732
928172427360
1010150777818
114339938685
121b73584876
13c59ccc40c
146c41b10a6
153e6242d13
hex25d0893da

10150777818 has 128 divisors (see below), whose sum is σ = 24029913600. Its totient is φ = 3169622016.

The previous prime is 10150777811. The next prime is 10150777829. The reversal of 10150777818 is 81877705101.

It is a super-2 number, since 2×101507778182 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10150777811) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13131280 + ... + 13132052.

It is an arithmetic number, because the mean of its divisors is an integer number (187733700).

Almost surely, 210150777818 is an apocalyptic number.

10150777818 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 10150777818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12014956800).

10150777818 is an abundant number, since it is smaller than the sum of its proper divisors (13879135782).

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

10150777818 is a wasteful number, since it uses less digits than its factorization.

10150777818 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 109760, while the sum is 45.

The spelling of 10150777818 in words is "ten billion, one hundred fifty million, seven hundred seventy-seven thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 97 109 138 194 207 218 291 327 414 582 621 654 773 873 981 1242 1546 1746 1962 2231 2319 2507 2619 2943 4462 4638 5014 5238 5886 6693 6957 7521 10573 13386 13914 15042 17779 20079 20871 21146 22563 31719 35558 40158 41742 45126 53337 60237 63438 67689 74981 84257 95157 106674 120474 135378 149962 160011 168514 190314 224943 243179 252771 285471 320022 449886 480033 486358 505542 570942 674829 729537 758313 960066 1349658 1459074 1516626 1724563 1937911 2024487 2188611 2274939 3449126 3875822 4048974 4377222 4549878 5173689 5813733 6565833 8172929 10347378 11627466 13131666 15521067 16345858 17441199 24518787 31042134 34882398 46563201 49037574 52323597 73556361 93126402 104647194 147112722 187977367 220669083 375954734 441338166 563932101 1127864202 1691796303 3383592606 5075388909 10150777818