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2136560148000 = 25325359348893
BaseRepresentation
bin11111000101110100111…
…010001001111000100000
321120020211112212010212100
4133011310322021320200
5240001133344214000
64313304442530400
7310234644416235
oct37056472117040
97506745763770
102136560148000
1175412355a233
122a60b5806a00
13126627589185
14755a52d978c
153a89bc23a00
hex1f174e89e20

2136560148000 has 144 divisors (see below), whose sum is σ = 7582652093016. Its totient is φ = 569749363200.

The previous prime is 2136560147999. The next prime is 2136560148049. The reversal of 2136560148000 is 8410656312.

It is a happy number.

2136560148000 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 5 + 601 + 48 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 147004761744 + 1989555386256 = 383412^2 + 1410516^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29638447 + ... + 29710446.

Almost surely, 22136560148000 is an apocalyptic number.

2136560148000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2136560148000 is an abundant number, since it is smaller than the sum of its proper divisors (5446091945016).

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

2136560148000 is a wasteful number, since it uses less digits than its factorization.

2136560148000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59348924 (or 59348903 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 2136560148000 in words is "two trillion, one hundred thirty-six billion, five hundred sixty million, one hundred forty-eight thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 125 144 150 160 180 200 225 240 250 288 300 360 375 400 450 480 500 600 720 750 800 900 1000 1125 1200 1440 1500 1800 2000 2250 2400 3000 3600 4000 4500 6000 7200 9000 12000 18000 36000 59348893 118697786 178046679 237395572 296744465 356093358 474791144 534140037 593488930 712186716 890233395 949582288 1068280074 1186977860 1424373432 1483722325 1780466790 1899164576 2136560148 2373955720 2670700185 2848746864 2967444650 3560933580 4273120296 4451166975 4747911440 5341400370 5697493728 5934889300 7121867160 7418611625 8546240592 8902333950 9495822880 10682800740 11869778600 13353500925 14243734320 14837223250 17092481184 17804667900 21365601480 22255834875 23739557200 26707001850 28487468640 29674446500 35609335800 42731202960 44511669750 47479114400 53414003700 59348893000 66767504625 71218671600 85462405920 89023339500 106828007400 118697786000 133535009250 142437343200 178046679000 213656014800 237395572000 267070018500 356093358000 427312029600 534140037000 712186716000 1068280074000 2136560148000