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185425121420 = 2257112107102299
BaseRepresentation
bin1010110010110000110…
…0101101000010001100
3122201121121002010202122
42230230030231002030
511014222312341140
6221103315512112
716253002345430
oct2545414550214
9581547063678
10185425121420
1171702713200
122bb2a5b8638
131464089bc76
148d905209c0
154c53b36ab5
hex2b2c32d08c

185425121420 has 144 divisors (see below), whose sum is σ = 493730899200. Its totient is φ = 57254144640.

The previous prime is 185425121419. The next prime is 185425121443. The reversal of 185425121420 is 24121524581.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1761431 + ... + 1863729.

It is an arithmetic number, because the mean of its divisors is an integer number (3428686800).

Almost surely, 2185425121420 is an apocalyptic number.

185425121420 is a gapful number since it is divisible by the number (10) 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 185425121420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246865449600).

185425121420 is an abundant number, since it is smaller than the sum of its proper divisors (308305777780).

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

185425121420 is a wasteful number, since it uses less digits than its factorization.

185425121420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102444 (or 102431 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 35.

The spelling of 185425121420 in words is "one hundred eighty-five billion, four hundred twenty-five million, one hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 107 110 121 140 154 214 220 242 308 385 428 484 535 605 749 770 847 1070 1177 1210 1498 1540 1694 2140 2354 2420 2996 3388 3745 4235 4708 5885 7490 8239 8470 11770 12947 14980 16478 16940 23540 25894 32956 41195 51788 64735 82390 90629 102299 129470 164780 181258 204598 258940 362516 409196 453145 511495 716093 906290 1022990 1125289 1432186 1812580 2045980 2250578 2864372 3580465 4501156 5626445 7160930 7877023 10945993 11252890 12378179 14321860 15754046 21891986 22505780 24756358 31508092 39385115 43783972 49512716 54729965 61890895 76621951 78770230 86647253 109459930 120405923 123781790 153243902 157540460 173294506 218919860 240811846 247563580 306487804 346589012 383109755 433236265 481623692 602029615 766219510 842841461 866472530 1204059230 1324465153 1532439020 1685682922 1732945060 2408118460 2648930306 3371365844 4214207305 5297860612 6622325765 8428414610 9271256071 13244651530 16856829220 18542512142 26489303060 37085024284 46356280355 92712560710 185425121420