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84000499461 = 32193159419641
BaseRepresentation
bin100111000111011010…
…0011110011100000101
322000211010202111120200
41032032310132130011
52334013111440321
6102331142121113
76032416315224
oct1161664363405
9260733674520
1084000499461
113269610158a
1214343720199
137bc8b9c968
1440cc1bccbb
1522b97e1d26
hex138ed1e705

84000499461 has 96 divisors (see below), whose sum is σ = 134604288000. Its totient is φ = 50272358400.

The previous prime is 84000499447. The next prime is 84000499469. The reversal of 84000499461 is 16499400048.

It is not a de Polignac number, because 84000499461 - 27 = 84000499333 is a prime.

It is a super-2 number, since 2×840004994612 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84000499469) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 131045701 + ... + 131046341.

It is an arithmetic number, because the mean of its divisors is an integer number (1402128000).

Almost surely, 284000499461 is an apocalyptic number.

It is an amenable number.

84000499461 is a deficient number, since it is larger than the sum of its proper divisors (50603788539).

84000499461 is a wasteful number, since it uses less digits than its factorization.

84000499461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 84000499461 in words is "eighty-four billion, four hundred ninety-nine thousand, four hundred sixty-one".

Divisors: 1 3 9 19 31 57 59 93 171 177 279 419 531 589 641 1121 1257 1767 1829 1923 3363 3771 5301 5487 5769 7961 10089 12179 12989 16461 19871 23883 24721 34751 36537 37819 38967 59613 71649 74163 104253 109611 113457 116901 178839 222489 246791 268579 312759 340371 377549 469699 718561 740373 766351 805737 1132647 1172389 1409097 2155683 2221119 2299053 2417211 3397941 3517167 4227291 5103001 6467049 6897159 8325949 10551501 14560669 15309003 15846161 22275391 24977847 43682007 45927009 47538483 66826173 74933541 131046021 142615449 158193031 200478519 301077059 474579093 491230991 903231177 1423737279 1473692973 2709693531 4421078919 9333388829 28000166487 84000499461