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86633000058 = 231119373315641
BaseRepresentation
bin101000010101110111…
…0101010110001111010
322021121121021101111210
41100223232222301322
52404411022000213
6103444301503550
76154563231123
oct1205356526172
9267547241453
1086633000058
1133817085210
1214959271bb6
1382283b1b17
14429ba8104a
1523c09920c3
hex142bbaac7a

86633000058 has 128 divisors (see below), whose sum is σ = 204996879360. Its totient is φ = 24121152000.

The previous prime is 86633000053. The next prime is 86633000081. The reversal of 86633000058 is 85000033668.

It is not an unprimeable number, because it can be changed into a prime (86633000053) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15354918 + ... + 15360558.

It is an arithmetic number, because the mean of its divisors is an integer number (1601538120).

Almost surely, 286633000058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86633000058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102498439680).

86633000058 is an abundant number, since it is smaller than the sum of its proper divisors (118363879302).

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

86633000058 is a wasteful number, since it uses less digits than its factorization.

86633000058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6044.

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 86633000058 in words is "eighty-six billion, six hundred thirty-three million, fifty-eight", and thus it is an aban number.

Divisors: 1 2 3 6 11 19 22 33 37 38 57 66 74 111 114 209 222 331 407 418 627 662 703 814 993 1221 1254 1406 1986 2109 2442 3641 4218 5641 6289 7282 7733 10923 11282 12247 12578 15466 16923 18867 21846 23199 24494 33846 36741 37734 46398 62051 69179 73482 107179 124102 134717 138358 186153 207537 208717 214358 232693 269434 321537 372306 404151 415074 417434 465386 626151 643074 698079 808302 1178969 1252302 1396158 1867171 2295887 2357938 2559623 3536907 3734342 3965623 4591774 5119246 5601513 6887661 7073814 7678869 7931246 11203026 11896869 13775322 15357738 20538881 23793738 35476249 41077762 43621853 61616643 69085327 70952498 87243706 106428747 123233286 130865559 138170654 207255981 212857494 261731118 390238739 414511962 759938597 780477478 1170716217 1312621213 1519877194 2279815791 2341432434 2625242426 3937863639 4559631582 7875727278 14438833343 28877666686 43316500029 86633000058