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64432045646034 = 2311233710910524511
BaseRepresentation
bin11101010011001110000010…
…01100010110000011010010
322110010122101001012002002020
432221213001030112003102
531421123312141133114
6345011401222032310
716400030104355163
oct1651470114260322
9273118331162066
1064432045646034
1119591528033260
127287441878696
1329c4bba117091
1411ca755c2176a
1576b05a95caa9
hex3a99c13160d2

64432045646034 has 128 divisors (see below), whose sum is σ = 152037942312960. Its totient is φ = 18004489747200.

The previous prime is 64432045646027. The next prime is 64432045646113. The reversal of 64432045646034 is 43064654023446.

It is a super-2 number, since 2×644320456460342 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax 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, 859839 + ... + 11384349.

It is an arithmetic number, because the mean of its divisors is an integer number (1187796424320).

Almost surely, 264432045646034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64432045646034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76018971156480).

64432045646034 is an abundant number, since it is smaller than the sum of its proper divisors (87605896666926).

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

64432045646034 is a wasteful number, since it uses less digits than its factorization.

64432045646034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10524696.

The product of its (nonzero) digits is 19906560, while the sum is 51.

The spelling of 64432045646034 in words is "sixty-four trillion, four hundred thirty-two billion, forty-five million, six hundred forty-six thousand, thirty-four".

Divisors: 1 2 3 6 11 22 23 33 37 46 66 69 74 109 111 138 218 222 253 327 407 506 654 759 814 851 1199 1221 1518 1702 2398 2442 2507 2553 3597 4033 5014 5106 7194 7521 8066 9361 12099 15042 18722 24198 27577 28083 44363 55154 56166 82731 88726 92759 133089 165462 185518 266178 278277 556554 1020349 2040698 3061047 6122094 10524511 21049022 31573533 63147066 115769621 231539242 242063753 347308863 389406907 484127506 694617726 726191259 778813814 1147171699 1168220721 1452382518 2294343398 2336441442 2662701283 3441515097 4283475977 5325402566 6883030194 7988103849 8566951954 8956358861 12618888689 12850427931 15976207698 17912717722 25237777378 25700855862 26384949077 26869076583 37856666067 42445352863 52769898154 53738153166 75713332134 79154847231 84890705726 98519947471 127336058589 158309694462 197039894942 254672117178 290234439847 295559842413 466898881493 580468879694 591119684826 870703319541 933797762986 976243115849 1400696644479 1741406639082 1952486231698 2801393288958 2928729347547 5857458695094 10738674274339 21477348548678 32216022823017 64432045646034