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42546000060 = 223652918107
BaseRepresentation
bin100111100111111100…
…000111000010111100
311001211002210202000000
4213213330013002330
51144113234000220
631313444234300
73034221014334
oct474774070274
9131732722000
1042546000060
1117053120623
1282b469b990
134020699585
1420b87940c4
15119029c390
hex9e7f070bc

42546000060 has 84 divisors (see below), whose sum is σ = 133958665848. Its totient is φ = 11345596128.

The previous prime is 42546000043. The next prime is 42546000103. The reversal of 42546000060 is 6000064524.

It is a happy number.

42546000060 is a `hidden beast` number, since 4 + 2 + 54 + 600 + 0 + 0 + 6 + 0 = 666.

It is a super-2 number, since 2×425460000602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42545999988 and 42546000033.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1444474 + ... + 1473633.

It is an arithmetic number, because the mean of its divisors is an integer number (1594746022).

Almost surely, 242546000060 is an apocalyptic number.

It is an amenable number.

42546000060 is an abundant number, since it is smaller than the sum of its proper divisors (91412665788).

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

42546000060 is a wasteful number, since it uses less digits than its factorization.

42546000060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918134 (or 2918117 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 42546000060 its reverse (6000064524), we get a palindrome (48546064584).

The spelling of 42546000060 in words is "forty-two billion, five hundred forty-six million, sixty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3645 4860 7290 14580 2918107 5836214 8754321 11672428 14590535 17508642 26262963 29181070 35017284 43771605 52525926 58362140 78788889 87543210 105051852 131314815 157577778 175086420 236366667 262629630 315155556 393944445 472733334 525259260 709100001 787888890 945466668 1181833335 1418200002 1575777780 2127300003 2363666670 2836400004 3545500005 4254600006 4727333340 7091000010 8509200012 10636500015 14182000020 21273000030 42546000060