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23942806120 = 23517211318329
BaseRepresentation
bin10110010011000110…
…100011101001101000
32021210121121120110001
4112103012203221220
5343013324243440
614555453232344
71505216331322
oct262306435150
967717546401
1023942806120
11a1770a9682
1247824926b4
1323474c26cc
141231bcc612
15951e94b9a
hex5931a3a68

23942806120 has 96 divisors (see below), whose sum is σ = 57736200600. Its totient is φ = 8933507072.

The previous prime is 23942806081. The next prime is 23942806123. The reversal of 23942806120 is 2160824932.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1951695684 + 21991110436 = 44178^2 + 148294^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23942806120.

It is not an unprimeable number, because it can be changed into a prime (23942806123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1297116 + ... + 1315444.

Almost surely, 223942806120 is an apocalyptic number.

23942806120 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 23942806120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28868100300).

23942806120 is an abundant number, since it is smaller than the sum of its proper divisors (33793394480).

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

23942806120 is a wasteful number, since it uses less digits than its factorization.

23942806120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18487 (or 18466 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 23942806120 in words is "twenty-three billion, nine hundred forty-two million, eight hundred six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 113 136 170 226 289 340 452 565 578 680 904 1130 1156 1445 1921 2260 2312 2890 3842 4520 5780 7684 9605 11560 15368 18329 19210 32657 36658 38420 65314 73316 76840 91645 130628 146632 163285 183290 261256 311593 326570 366580 623186 653140 733160 1246372 1306280 1557965 2071177 2492744 3115930 4142354 5297081 6231860 8284708 10355885 10594162 12463720 16569416 20711770 21188324 26485405 35210009 41423540 42376648 52970810 70420018 82847080 105941620 140840036 176050045 211883240 281680072 352100090 598570153 704200180 1197140306 1408400360 2394280612 2992850765 4788561224 5985701530 11971403060 23942806120