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20615920331920 = 245461559000009
BaseRepresentation
bin1001011000000000001001…
…00110111010110010010000
32200222212021221020012212221
410230000010212322302100
510200232401101110140
6111502453440230424
74225310503325524
oct454000446726220
980885257205787
1020615920331920
116629187631641
12238b60600b414
13b670c4352194
14513b5ca55d84
1525b40270e14a
hex12c0049bac90

20615920331920 has 40 divisors (see below), whose sum is σ = 48035988859320. Its totient is φ = 8228480117760.

The previous prime is 20615920331893. The next prime is 20615920331939. The reversal of 20615920331920 is 2913302951602.

It can be written as a sum of positive squares in 4 ways, for example, as 80086736016 + 20535833595904 = 282996^2 + 4531648^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×206159203319202 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 279463125 + ... + 279536884.

It is an arithmetic number, because the mean of its divisors is an integer number (1200899721483).

Almost surely, 220615920331920 is an apocalyptic number.

20615920331920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20615920331920 is an abundant number, since it is smaller than the sum of its proper divisors (27420068527400).

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

20615920331920 is a wasteful number, since it uses less digits than its factorization.

20615920331920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559000483 (or 559000477 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 43.

The spelling of 20615920331920 in words is "twenty trillion, six hundred fifteen billion, nine hundred twenty million, three hundred thirty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 461 922 1844 2305 3688 4610 7376 9220 18440 36880 559000009 1118000018 2236000036 2795000045 4472000072 5590000090 8944000144 11180000180 22360000360 44720000720 257699004149 515398008298 1030796016596 1288495020745 2061592033192 2576990041490 4123184066384 5153980082980 10307960165960 20615920331920