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85801436514 = 2346837611019
BaseRepresentation
bin100111111101000101…
…0100000010101100010
322012110122112120210000
41033322022200111202
52401210131432024
6103225554320430
76125145114453
oct1177212402542
9265418476700
1085801436514
113342a746212
1214766889116
13812502a3a1
14421d45b12a
152372982cc9
hex13fa2a0562

85801436514 has 80 divisors (see below), whose sum is σ = 192982474080. Its totient is φ = 28493087040.

The previous prime is 85801436509. The next prime is 85801436533. The reversal of 85801436514 is 41563410858.

85801436514 is a `hidden beast` number, since 8 + 580 + 1 + 4 + 3 + 65 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 85801436514.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 84201097 + ... + 84202115.

It is an arithmetic number, because the mean of its divisors is an integer number (2412280926).

Almost surely, 285801436514 is an apocalyptic number.

85801436514 is an abundant number, since it is smaller than the sum of its proper divisors (107181037566).

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

85801436514 is a wasteful number, since it uses less digits than its factorization.

85801436514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2477 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 85801436514 in words is "eighty-five billion, eight hundred one million, four hundred thirty-six thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 683 761 1019 1366 1522 2038 2049 2283 3057 4098 4566 6114 6147 6849 9171 12294 13698 18342 18441 20547 27513 36882 41094 55026 55323 61641 82539 110646 123282 165078 519763 695977 775459 1039526 1391954 1550918 1559289 2087931 2326377 3118578 4175862 4652754 4677867 6263793 6979131 9355734 12527586 13958262 14033601 18791379 20937393 28067202 37582758 41874786 42100803 56374137 62812179 84201606 112748274 125624358 529638497 1059276994 1588915491 3177830982 4766746473 9533492946 14300239419 28600478838 42900718257 85801436514