Search a number
-
+
13525502520420 = 223251119335394103
BaseRepresentation
bin1100010011010010011011…
…0001011110110001100100
31202220000200112012111202100
43010310212301132301210
53233100212121123140
644433310255212100
72564120363334402
oct304644661366144
952800615174670
1013525502520420
114345151622250
1216253bb517030
137715ac497a57
1434a8d0242472
15186c69152530
hexc4d26c5ec64

13525502520420 has 144 divisors (see below), whose sum is σ = 44989020865152. Its totient is φ = 3261920440320.

The previous prime is 13525502520419. The next prime is 13525502520461. The reversal of 13525502520420 is 2402520552531.

13525502520420 is a `hidden beast` number, since 1 + 3 + 52 + 550 + 2 + 52 + 0 + 4 + 2 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 17314912 + ... + 18079191.

It is an arithmetic number, because the mean of its divisors is an integer number (312423756008).

Almost surely, 213525502520420 is an apocalyptic number.

13525502520420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13525502520420 is an abundant number, since it is smaller than the sum of its proper divisors (31463518344732).

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

13525502520420 is a wasteful number, since it uses less digits than its factorization.

13525502520420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35394322 (or 35394317 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 13525502520420 in words is "thirteen trillion, five hundred twenty-five billion, five hundred two million, five hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 193 198 220 330 386 396 495 579 660 772 965 990 1158 1737 1930 1980 2123 2316 2895 3474 3860 4246 5790 6369 6948 8492 8685 10615 11580 12738 17370 19107 21230 25476 31845 34740 38214 42460 63690 76428 95535 127380 191070 382140 35394103 70788206 106182309 141576412 176970515 212364618 318546927 353941030 389335133 424729236 530911545 637093854 707882060 778670266 1061823090 1168005399 1274187708 1557340532 1592734635 1946675665 2123646180 2336010798 3185469270 3504016197 3893351330 4672021596 5840026995 6370938540 6831061879 7008032394 7786702660 11680053990 13662123758 14016064788 17520080985 20493185637 23360107980 27324247516 34155309395 35040161970 40986371274 61479556911 68310618790 70080323940 75141680669 81972742548 102465928185 122959113822 136621237580 150283361338 204931856370 225425042007 245918227644 300566722676 307397784555 375708403345 409863712740 450850084014 614795569110 676275126021 751416806690 901700168028 1127125210035 1229591138220 1352550252042 1502833613380 2254250420070 2705100504084 3381375630105 4508500840140 6762751260210 13525502520420