Search a number
-
+
42058599081696 = 2532197686147493
BaseRepresentation
bin10011001000000100001111…
…10110111010011011100000
312111220202121002021122101200
421210002013312322123200
521003042002331103241
6225241241555001200
711600430202400421
oct1144020766723340
9174822532248350
1042058599081696
1112445a5179729a
1248732a3899200
131a61155278572
14a5590b74b648
154ce0924754b6
hex264087dba6e0

42058599081696 has 72 divisors (see below), whose sum is σ = 125899095951720. Its totient is φ = 13281662866176.

The previous prime is 42058599081647. The next prime is 42058599081721. The reversal of 42058599081696 is 69618099585024.

42058599081696 is a `hidden beast` number, since 4 + 20 + 5 + 8 + 599 + 0 + 8 + 1 + 6 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×420585990816962 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3843068275 + ... + 3843079218.

It is an arithmetic number, because the mean of its divisors is an integer number (1748598554885).

Almost surely, 242058599081696 is an apocalyptic number.

It is an amenable number.

42058599081696 is an abundant number, since it is smaller than the sum of its proper divisors (83840496870024).

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

42058599081696 is a wasteful number, since it uses less digits than its factorization.

42058599081696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7686147528 (or 7686147517 counting only the distinct ones).

The product of its (nonzero) digits is 335923200, while the sum is 72.

The spelling of 42058599081696 in words is "forty-two trillion, fifty-eight billion, five hundred ninety-nine million, eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 7686147493 15372294986 23058442479 30744589972 46116884958 61489179944 69175327437 92233769916 122978359888 138350654874 146036802367 184467539832 245956719776 276701309748 292073604734 368935079664 438110407101 553402619496 584147209468 737870159328 876220814202 1106805238992 1168294418936 1314331221303 1752441628404 2213610477984 2336588837872 2628662442606 3504883256808 4673177675744 5257324885212 7009766513616 10514649770424 14019533027232 21029299540848 42058599081696