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10087004432520 = 233454017763773
BaseRepresentation
bin1001001011001001000001…
…0100001110100010001000
31022201022022200102100220000
42102302100110032202020
52310231141113320040
633241523400003000
72060522241666051
oct222622024164210
938638280370800
1010087004432520
113239969041a04
12116ab19460460
1358227b488962
1426c2dc259728
151275bd304130
hex92c9050e888

10087004432520 has 160 divisors (see below), whose sum is σ = 33988094541720. Its totient is φ = 2683159603200.

The previous prime is 10087004432471. The next prime is 10087004432539. The reversal of 10087004432520 is 2523440078001.

It is a happy number.

10087004432520 is a `hidden beast` number, since 10 + 0 + 87 + 0 + 0 + 4 + 43 + 2 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8889568845444 + 1197435587076 = 2981538^2 + 1094274^2 .

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 39 ways as a sum of consecutive naturals, for example, 2582647 + ... + 5181126.

Almost surely, 210087004432520 is an apocalyptic number.

10087004432520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10087004432520 is an abundant number, since it is smaller than the sum of its proper divisors (23901090109200).

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

10087004432520 is a wasteful number, since it uses less digits than its factorization.

10087004432520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7764197 (or 7764184 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 10087004432520 in words is "ten trillion, eighty-seven billion, four million, four hundred thirty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 401 405 540 648 802 810 1080 1203 1604 1620 2005 2406 3208 3240 3609 4010 4812 6015 7218 8020 9624 10827 12030 14436 16040 18045 21654 24060 28872 32481 36090 43308 48120 54135 64962 72180 86616 108270 129924 144360 162405 216540 259848 324810 433080 649620 1299240 7763773 15527546 23291319 31055092 38818865 46582638 62110184 69873957 77637730 93165276 116456595 139747914 155275460 186330552 209621871 232913190 279495828 310550920 349369785 419243742 465826380 558991656 628865613 698739570 838487484 931652760 1048109355 1257731226 1397479140 1676974968 2096218710 2515462452 2794958280 3113272973 3144328065 4192437420 5030924904 6226545946 6288656130 8384874840 9339818919 12453091892 12577312260 15566364865 18679637838 24906183784 25154624520 28019456757 31132729730 37359275676 46699094595 56038913514 62265459460 74718551352 84058370271 93398189190 112077827028 124530918920 140097283785 168116740542 186796378380 224155654056 252175110813 280194567570 336233481084 373592756760 420291851355 504350221626 560389135140 672466962168 840583702710 1008700443252 1120778270280 1260875554065 1681167405420 2017400886504 2521751108130 3362334810840 5043502216260 10087004432520