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23838063120 = 2432561542761
BaseRepresentation
bin10110001100110110…
…111111101000010000
32021112022112002001200
4112030312333220100
5342310021004440
614541232231200
71502505123204
oct261466775020
967468462050
1023838063120
11a122a68713
12475339b500
13232b8ab0c1
141221d24b04
15947ba4c30
hex58cdbfa10

23838063120 has 120 divisors (see below), whose sum is σ = 81368707992. Its totient is φ = 6252595200.

The previous prime is 23838063107. The next prime is 23838063163. The reversal of 23838063120 is 2136083832.

It can be written as a sum of positive squares in 4 ways, for example, as 200845584 + 23637217536 = 14172^2 + 153744^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227461 + ... + 315300.

Almost surely, 223838063120 is an apocalyptic number.

23838063120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23838063120 is an abundant number, since it is smaller than the sum of its proper divisors (57530644872).

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

23838063120 is a wasteful number, since it uses less digits than its factorization.

23838063120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542841 (or 542832 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 23838063120 in words is "twenty-three billion, eight hundred thirty-eight million, sixty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 61 72 80 90 120 122 144 180 183 240 244 305 360 366 488 549 610 720 732 915 976 1098 1220 1464 1830 2196 2440 2745 2928 3660 4392 4880 5490 7320 8784 10980 14640 21960 43920 542761 1085522 1628283 2171044 2713805 3256566 4342088 4884849 5427610 6513132 8141415 8684176 9769698 10855220 13026264 16282830 19539396 21710440 24424245 26052528 32565660 33108421 39078792 43420880 48848490 65131320 66216842 78157584 97696980 99325263 130262640 132433684 165542105 195393960 198650526 264867368 297975789 331084210 390787920 397301052 496626315 529734736 595951578 662168420 794602104 993252630 1191903156 1324336840 1489878945 1589204208 1986505260 2383806312 2648673680 2979757890 3973010520 4767612624 5959515780 7946021040 11919031560 23838063120