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84132408120 = 23351936900179
BaseRepresentation
bin100111001011010101…
…1101010101100111000
322001011022222011020120
41032112223222230320
52334300344024440
6102352213253240
76035610445455
oct1162653525470
9261138864216
1084132408120
1132753607502
121437b934220
137c1a306117
14410191882c
1522c619add0
hex1396aeab38

84132408120 has 64 divisors (see below), whose sum is σ = 265681296000. Its totient is φ = 21254502528.

The previous prime is 84132408091. The next prime is 84132408137. The reversal of 84132408120 is 2180423148.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18447810 + ... + 18452369.

It is an arithmetic number, because the mean of its divisors is an integer number (4151270250).

Almost surely, 284132408120 is an apocalyptic number.

It is an amenable number.

84132408120 is an abundant number, since it is smaller than the sum of its proper divisors (181548887880).

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

84132408120 is a wasteful number, since it uses less digits than its factorization.

84132408120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36900212 (or 36900208 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 84132408120 in words is "eighty-four billion, one hundred thirty-two million, four hundred eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 36900179 73800358 110700537 147600716 184500895 221401074 295201432 369001790 442802148 553502685 701103401 738003580 885604296 1107005370 1402206802 1476007160 2103310203 2214010740 2804413604 3505517005 4206620406 4428021480 5608827208 7011034010 8413240812 10516551015 14022068020 16826481624 21033102030 28044136040 42066204060 84132408120