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84350095050606 = 237111964511489577
BaseRepresentation
bin10011001011011101001001…
…011100111100011101101110
3102001122210100011010222211220
4103023131021130330131232
542023442443313104411
6455221522042324210
723524043663011260
oct2313351134743556
9361583304128756
1084350095050606
1124970746720a80
1295637441b9666
13380b245129018
1416b87d0229b30
159b4215e70b06
hex4cb74973c76e

84350095050606 has 128 divisors (see below), whose sum is σ = 221431847178240. Its totient is φ = 20752772832000.

The previous prime is 84350095050553. The next prime is 84350095050619. The reversal of 84350095050606 is 60605059005348.

84350095050606 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×843500950506062 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55882090 + ... + 57371666.

It is an arithmetic number, because the mean of its divisors is an integer number (1729936306080).

Almost surely, 284350095050606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84350095050606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110715923589120).

84350095050606 is an abundant number, since it is smaller than the sum of its proper divisors (137081752127634).

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

84350095050606 is a wasteful number, since it uses less digits than its factorization.

84350095050606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496070.

The product of its (nonzero) digits is 3888000, while the sum is 51.

The spelling of 84350095050606 in words is "eighty-four trillion, three hundred fifty billion, ninety-five million, fifty thousand, six hundred six".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 77 114 133 154 209 231 266 399 418 462 627 798 1254 1463 2926 4389 6451 8778 12902 19353 38706 45157 70961 90314 122569 135471 141922 212883 245138 270942 367707 425766 496727 735414 857983 993454 1348259 1489577 1490181 1715966 2573949 2696518 2979154 2980362 4044777 4468731 5147898 8089554 8937462 9437813 10427039 16385347 18875626 20854078 28301963 28313439 31281117 32770694 49156041 56603926 56626878 62562234 84905889 98312082 114697429 169811778 198113741 229394858 311321593 344092287 396227482 594341223 622643186 688184574 933964779 1188682446 1867929558 2179251151 4358502302 6537753453 9609261227 13075506906 19218522454 28827783681 57655567362 67264828589 105701873497 134529657178 182575963313 201794485767 211403746994 317105620491 365151926626 403588971534 547727889939 634211240982 739913114479 1095455779878 1278031743191 1479826228958 2008335596443 2219739343437 2556063486382 3834095229573 4016671192886 4439478686874 6025006789329 7668190459146 12050013578658 14058349175101 28116698350202 42175047525303 84350095050606