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23093218680 = 23357137200671
BaseRepresentation
bin10101100000011101…
…101000110101111000
32012121101222001120120
4111200131220311320
5334243330444210
614335303453240
71445162056110
oct254035506570
965541861516
1023093218680
119880579aa4
124585a57220
13224049a14c
141191036040
159025c5270
hex560768d78

23093218680 has 128 divisors (see below), whose sum is σ = 79755079680. Its totient is φ = 5239895040.

The previous prime is 23093218651. The next prime is 23093218711. The reversal of 23093218680 is 8681239032.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14745 + ... + 215415.

It is an arithmetic number, because the mean of its divisors is an integer number (623086560).

Almost surely, 223093218680 is an apocalyptic number.

23093218680 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 23093218680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39877539840).

23093218680 is an abundant number, since it is smaller than the sum of its proper divisors (56661861000).

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

23093218680 is a wasteful number, since it uses less digits than its factorization.

23093218680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200829 (or 200825 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 23093218680 in words is "twenty-three billion, ninety-three million, two hundred eighteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 137 140 168 210 274 280 411 420 548 685 822 840 959 1096 1370 1644 1918 2055 2740 2877 3288 3836 4110 4795 5480 5754 7672 8220 9590 11508 14385 16440 19180 23016 28770 38360 57540 115080 200671 401342 602013 802684 1003355 1204026 1404697 1605368 2006710 2408052 2809394 3010065 4013420 4214091 4816104 5618788 6020130 7023485 8026840 8428182 11237576 12040260 14046970 16856364 21070455 24080520 27491927 28093940 33712728 42140910 54983854 56187880 82475781 84281820 109967708 137459635 164951562 168563640 192443489 219935416 274919270 329903124 384886978 412378905 549838540 577330467 659806248 769773956 824757810 962217445 1099677080 1154660934 1539547912 1649515620 1924434890 2309321868 2886652335 3299031240 3848869780 4618643736 5773304670 7697739560 11546609340 23093218680