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23833096820 = 22513712634909
BaseRepresentation
bin10110001100100100…
…000011001001110100
32021111222011202120122
4112030210003021310
5342302233044240
614540533551112
71502414660201
oct261444031164
967458152518
1023833096820
11a120186435
1247517a5498
13232a85c770
1412213d0ca8
159475234b5
hex58c903274

23833096820 has 96 divisors (see below), whose sum is σ = 54877616640. Its totient is φ = 8641221120.

The previous prime is 23833096817. The next prime is 23833096829. The reversal of 23833096820 is 2869033832.

It is a happy number.

It is a super-2 number, since 2×238330968202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23833096829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4852526 + ... + 4857434.

It is an arithmetic number, because the mean of its divisors is an integer number (571641840).

Almost surely, 223833096820 is an apocalyptic number.

23833096820 is a gapful number since it is divisible by the number (20) 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 23833096820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27438808320).

23833096820 is an abundant number, since it is smaller than the sum of its proper divisors (31044519820).

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

23833096820 is a wasteful number, since it uses less digits than its factorization.

23833096820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5265 (or 5263 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 44.

The spelling of 23833096820 in words is "twenty-three billion, eight hundred thirty-three million, ninety-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 71 130 142 260 263 284 355 526 710 923 1052 1315 1420 1846 2630 3419 3692 4615 4909 5260 6838 9230 9818 13676 17095 18460 18673 19636 24545 34190 37346 49090 63817 68380 74692 93365 98180 127634 186730 242749 255268 319085 348539 373460 485498 638170 697078 970996 1213745 1276340 1291067 1394156 1742695 2427490 2582134 3485390 4531007 4854980 5164268 6455335 6970780 9062014 12910670 16783871 18124028 22655035 25821340 33567742 45310070 67135484 83919355 90620140 91665757 167838710 183331514 335677420 366663028 458328785 916657570 1191654841 1833315140 2383309682 4766619364 5958274205 11916548410 23833096820