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87012222221078 = 2711972239251257
BaseRepresentation
bin10011110010001100011100…
…100110001011101100010110
3102102002021202101002011100222
4103302030130212023230112
542401102012342033303
6505020510230434342
724220265660421260
oct2362143446135426
9372067671064328
1087012222221078
11257a7749049040
1299136752029b2
1339722a9689a0b
14176b5b2132b30
15a0d5c3151938
hex4f231c98bb16

87012222221078 has 96 divisors (see below), whose sum is σ = 165107621790720. Its totient is φ = 33410857052160.

The previous prime is 87012222221077. The next prime is 87012222221083.

87012222221078 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×870122222210782 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87012222221077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 346182026 + ... + 346433282.

It is an arithmetic number, because the mean of its divisors is an integer number (1719871060320).

Almost surely, 287012222221078 is an apocalyptic number.

87012222221078 is a deficient number, since it is larger than the sum of its proper divisors (78095399569642).

87012222221078 is a wasteful number, since it uses less digits than its factorization.

87012222221078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251710 (or 251613 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 44.

The spelling of 87012222221078 in words is "eighty-seven trillion, twelve billion, two hundred twenty-two million, two hundred twenty-one thousand, seventy-eight".

Divisors: 1 2 7 11 14 22 77 97 154 194 239 478 679 1067 1358 1673 2134 2629 3346 5258 7469 9409 14938 18403 18818 23183 36806 46366 65863 103499 131726 162281 206998 251257 255013 324562 502514 510026 724493 1448986 1758799 1785091 2248751 2763827 3517598 3570182 4497502 5527654 15741257 19346789 24371929 24736261 31482514 38693578 48743858 49472522 60050423 120100846 170603503 173153827 268091219 341207006 346307654 420352961 536182438 660554653 840705922 1321109306 1876638533 2364077113 3753277066 4623882571 4728154226 5824891031 9247765142 11649782062 16548539791 26004848243 33097079582 40774237217 52009696486 64073801341 81548474434 128147602682 182033937701 364067875402 448516609387 565014430007 897033218774 1130028860014 3955101010049 6215158730077 7910202020098 12430317460154 43506111110539 87012222221078