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86045001798 = 237172234391231
BaseRepresentation
bin101000000100010101…
…1101000100001000110
322020002121211222112110
41100020223220201012
52402210010024143
6103310055001450
76134163306360
oct1201053504106
9266077758473
1086045001798
1133545184438
1214814369286
138163628c62
14424393dd30
152389045533
hex1408ae8846

86045001798 has 128 divisors (see below), whose sum is σ = 209823989760. Its totient is φ = 22963253760.

The previous prime is 86045001761. The next prime is 86045001803. The reversal of 86045001798 is 89710054068.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69897843 + ... + 69899073.

It is an arithmetic number, because the mean of its divisors is an integer number (1639249920).

Almost surely, 286045001798 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86045001798, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104911994880).

86045001798 is an abundant number, since it is smaller than the sum of its proper divisors (123778987962).

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

86045001798 is a wasteful number, since it uses less digits than its factorization.

86045001798 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922.

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 86045001798 in words is "eighty-six billion, forty-five million, one thousand, seven hundred ninety-eight".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 223 238 357 439 446 669 714 878 1231 1317 1338 1561 2462 2634 3073 3122 3693 3791 4683 6146 7386 7463 7582 8617 9219 9366 11373 14926 17234 18438 20927 22389 22746 25851 26537 41854 44778 51702 52241 53074 62781 79611 97897 104482 125562 146489 156723 159222 195794 274513 292978 293691 313446 439467 540409 549026 587382 685279 823539 878934 1080818 1370558 1621227 1647078 1664249 1921591 2055837 3242454 3328498 3782863 3843182 4111674 4666721 4992747 5764773 7565726 9186953 9333442 9985494 11348589 11529546 11649743 14000163 18373906 22697178 23299486 27560859 28000326 32667047 34949229 55121718 64308671 65334094 69898458 98001141 120511207 128617342 192926013 196002282 241022414 361533621 385852026 723067242 843578449 1687156898 2048690519 2530735347 4097381038 5061470694 6146071557 12292143114 14340833633 28681667266 43022500899 86045001798