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2166616056240 = 243358017125117
BaseRepresentation
bin11111100001110100011…
…000010110000110110000
321200010102012100110221000
4133201310120112012300
5240444212202244430
64335155113202000
7312350523420666
oct37416430260660
97603365313830
102166616056240
11765947309a19
122abaa3400300
131294073c796c
1476c16d38c36
153b55a6e2e60
hex1f8746161b0

2166616056240 has 160 divisors (see below), whose sum is σ = 7463779162560. Its totient is φ = 577687597056.

The previous prime is 2166616056217. The next prime is 2166616056251. The reversal of 2166616056240 is 426506166612.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17254162 + ... + 17379278.

It is an arithmetic number, because the mean of its divisors is an integer number (46648619766).

Almost surely, 22166616056240 is an apocalyptic number.

2166616056240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2166616056240 is an abundant number, since it is smaller than the sum of its proper divisors (5297163106320).

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

2166616056240 is a wasteful number, since it uses less digits than its factorization.

2166616056240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133156 (or 133144 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 2166616056240 in words is "two trillion, one hundred sixty-six billion, six hundred sixteen million, fifty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 8017 16034 24051 32068 40085 48102 64136 72153 80170 96204 120255 125117 128272 144306 160340 192408 216459 240510 250234 288612 320680 360765 375351 384816 432918 481020 500468 577224 625585 641360 721530 750702 865836 962040 1000936 1082295 1126053 1154448 1251170 1443060 1501404 1731672 1876755 1924080 2001872 2164590 2252106 2502340 2886120 3002808 3378159 3463344 3753510 4329180 4504212 5004680 5630265 5772240 6005616 6756318 7507020 8658360 9008424 10009360 11260530 13512636 15014040 16890795 17316720 18016848 22521060 27025272 30028080 33781590 45042120 54050544 67563180 90084240 135126360 270252720 1003062989 2006125978 3009188967 4012251956 5015314945 6018377934 8024503912 9027566901 10030629890 12036755868 15045944835 16049007824 18055133802 20061259780 24073511736 27082700703 30091889670 36110267604 40122519560 45137834505 48147023472 54165401406 60183779340 72220535208 80245039120 90275669010 108330802812 120367558680 135413503515 144441070416 180551338020 216661605624 240735117360 270827007030 361102676040 433323211248 541654014060 722205352080 1083308028120 2166616056240