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87070434971720 = 23529385316095413
BaseRepresentation
bin10011110011000010101010…
…010110001101000001001000
3102102021212000022122021220112
4103303002222112031001020
542403030222323043340
6505103334452013452
724224426355555404
oct2363025226150110
9372255008567815
1087070434971720
112581a400690212
129922a00601288
133977925a6c6b5
1417703354ac104
15a0ed7da19065
hex4f30aa58d048

87070434971720 has 128 divisors (see below), whose sum is σ = 196966259733600. Its totient is φ = 34640668237824.

The previous prime is 87070434971719. The next prime is 87070434971731. The reversal of 87070434971720 is 2717943407078.

It can be written as a sum of positive squares in 16 ways, for example, as 19559266927396 + 67511168044324 = 4422586^2 + 8216518^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 87070434971720.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16085427734 + ... + 16085433146.

Almost surely, 287070434971720 is an apocalyptic number.

It is an amenable number.

87070434971720 is an abundant number, since it is smaller than the sum of its proper divisors (109895824761880).

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

87070434971720 is a wasteful number, since it uses less digits than its factorization.

87070434971720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8179 (or 8175 counting only the distinct ones).

The product of its (nonzero) digits is 16595712, while the sum is 59.

The spelling of 87070434971720 in words is "eighty-seven trillion, seventy billion, four hundred thirty-four million, nine hundred seventy-one thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 293 586 853 1172 1465 1609 1706 2344 2930 3218 3412 4265 5413 5860 6436 6824 8045 8530 10826 11720 12872 16090 17060 21652 27065 32180 34120 43304 54130 64360 108260 216520 249929 471437 499858 942874 999716 1249645 1372477 1586009 1885748 1999432 2357185 2499290 2744954 3172018 3771496 4617289 4714370 4998580 5489908 6344036 6862385 7930045 8709517 9234578 9428740 9997160 10979816 12688072 13724770 15860090 17419034 18469156 18857480 23086445 27449540 31720180 34838068 36938312 43547585 46172890 54899080 63440360 69676136 87095170 92345780 174190340 184691560 348380680 402135761 804271522 1352865677 1608543044 2010678805 2551888481 2705731354 3217086088 4021357610 5103776962 5411462708 6764328385 7429218001 8042715220 10207553924 10822925416 12759442405 13528656770 14858436002 16085430440 20415107848 25518884810 27057313540 29716872004 37146090005 51037769620 54114627080 59433744008 74292180010 102075539240 148584360020 297168720040 2176760874293 4353521748586 8707043497172 10883804371465 17414086994344 21767608742930 43535217485860 87070434971720