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238728813600 = 25352195235281
BaseRepresentation
bin1101111001010101011…
…0001001110000100000
3211211012102101021002010
43132111112021300200
512402404034013400
6301400454552520
723150631302004
oct3362526116040
9754172337063
10238728813600
1192276212072
123a325968740
1319686c14724
14b7a990c704
15632355d450
hex3795589c20

238728813600 has 144 divisors (see below), whose sum is σ = 817960459680. Its totient is φ = 60310425600.

The previous prime is 238728813593. The next prime is 238728813629. The reversal of 238728813600 is 6318827832.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 238728813600.

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 23 ways as a sum of consecutive naturals, for example, 2572041 + ... + 2663240.

It is an arithmetic number, because the mean of its divisors is an integer number (5680280970).

Almost surely, 2238728813600 is an apocalyptic number.

238728813600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238728813600 is an abundant number, since it is smaller than the sum of its proper divisors (579231646080).

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

238728813600 is a wasteful number, since it uses less digits than its factorization.

238728813600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5235323 (or 5235310 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 238728813600 in words is "two hundred thirty-eight billion, seven hundred twenty-eight million, eight hundred thirteen thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 38 40 48 50 57 60 75 76 80 95 96 100 114 120 150 152 160 190 200 228 240 285 300 304 380 400 456 475 480 570 600 608 760 800 912 950 1140 1200 1425 1520 1824 1900 2280 2400 2850 3040 3800 4560 5700 7600 9120 11400 15200 22800 45600 5235281 10470562 15705843 20941124 26176405 31411686 41882248 52352810 62823372 78529215 83764496 99470339 104705620 125646744 130882025 157058430 167528992 198940678 209411240 251293488 261764050 298411017 314116860 392646075 397881356 418822480 497351695 502586976 523528100 596822034 628233720 785292150 795762712 837644960 994703390 1047056200 1193644068 1256467440 1492055085 1570584300 1591525424 1989406780 2094112400 2387288136 2486758475 2512934880 2984110170 3141168600 3183050848 3978813560 4188224800 4774576272 4973516950 5968220340 6282337200 7460275425 7957627120 9549152544 9947033900 11936440680 12564674400 14920550850 15915254240 19894067800 23872881360 29841101700 39788135600 47745762720 59682203400 79576271200 119364406800 238728813600