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59897274066 = 23374313272777
BaseRepresentation
bin110111110010001001…
…111101111011010010
312201121100021210021000
4313302021331323102
51440132200232231
643303314242430
74220211300120
oct676211757322
9181540253230
1059897274066
11234474a45a3
12b737586416
1358573a0a06
142c82d92910
1518587106e6
hexdf227ded2

59897274066 has 128 divisors (see below), whose sum is σ = 155831132160. Its totient is φ = 16696907136.

The previous prime is 59897274053. The next prime is 59897274067. The reversal of 59897274066 is 66047279895.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 59897273994 and 59897274012.

It is not an unprimeable number, because it can be changed into a prime (59897274067) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21567670 + ... + 21570446.

It is an arithmetic number, because the mean of its divisors is an integer number (1217430720).

Almost surely, 259897274066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59897274066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77915566080).

59897274066 is an abundant number, since it is smaller than the sum of its proper divisors (95933858094).

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

59897274066 is a wasteful number, since it uses less digits than its factorization.

59897274066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4165 (or 4159 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 59897274066 in words is "fifty-nine billion, eight hundred ninety-seven million, two hundred seventy-four thousand, sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 54 63 86 126 129 189 258 301 378 387 602 774 903 1161 1327 1806 2322 2654 2709 2777 3981 5418 5554 7962 8127 8331 9289 11943 16254 16662 18578 19439 23886 24993 27867 35829 38878 49986 55734 57061 58317 71658 74979 83601 114122 116634 119411 149958 167202 171183 174951 238822 250803 342366 349902 358233 399427 501606 513549 524853 716466 798854 835877 1027098 1049706 1074699 1198281 1540647 1671754 2149398 2396562 2507631 3081294 3224097 3594843 3685079 5015262 6448194 7189686 7370158 7522893 10784529 11055237 15045786 21569058 22110474 22568679 25795553 33165711 45137358 51591106 66331422 77386659 99497133 154773318 158458397 198994266 232159977 316916794 464319954 475375191 696479931 950750382 1109208779 1392959862 1426125573 2218417558 2852251146 3327626337 4278376719 6655252674 8556753438 9982879011 19965758022 29948637033 59897274066