Search a number
-
+
26038726020 = 2233571679153
BaseRepresentation
bin11000010000000001…
…110110110110000100
32111012200110100001000
4120100001312312010
5411311403213040
615543444133300
71611156343056
oct302001666604
974180410030
1026038726020
111005220028a
125068397230
1325bc7b23b8
1413902d58d6
15a25ea3130
hex610076d84

26038726020 has 96 divisors (see below), whose sum is σ = 82150467840. Its totient is φ = 6845852160.

The previous prime is 26038726019. The next prime is 26038726027. The reversal of 26038726020 is 2062783062.

26038726020 is a `hidden beast` number, since 2 + 603 + 8 + 7 + 26 + 0 + 20 = 666.

It is a super-3 number, since 3×260387260203 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (26038726027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301237 + ... + 377916.

It is an arithmetic number, because the mean of its divisors is an integer number (855734040).

Almost surely, 226038726020 is an apocalyptic number.

26038726020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26038726020 is an abundant number, since it is smaller than the sum of its proper divisors (56111741820).

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

26038726020 is a wasteful number, since it uses less digits than its factorization.

26038726020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679242 (or 679234 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 26038726020 in words is "twenty-six billion, thirty-eight million, seven hundred twenty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 71 90 108 135 142 180 213 270 284 355 426 540 639 710 852 1065 1278 1420 1917 2130 2556 3195 3834 4260 6390 7668 9585 12780 19170 38340 679153 1358306 2037459 2716612 3395765 4074918 6112377 6791530 8149836 10187295 12224754 13583060 18337131 20374590 24449508 30561885 36674262 40749180 48219863 61123770 73348524 91685655 96439726 122247540 144659589 183371310 192879452 241099315 289319178 366742620 433978767 482198630 578638356 723297945 867957534 964397260 1301936301 1446595890 1735915068 2169893835 2603872602 2893191780 4339787670 5207745204 6509681505 8679575340 13019363010 26038726020