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54122154143560 = 23528110934405433
BaseRepresentation
bin11000100111001010010111…
…10001011010111101001000
321002122000201222102102000021
430103211023301122331020
524043214132430043220
6311035212510350224
714254124301466456
oct1423451361327510
9232560658372007
1054122154143560
1116277093063808
1260a129babb374
13242790aaa0019
14d51751dd19d6
1563cc94c804aa
hex31394bc5af48

54122154143560 has 64 divisors (see below), whose sum is σ = 122320046922480. Its totient is φ = 21552078213120.

The previous prime is 54122154143543. The next prime is 54122154143593. The reversal of 54122154143560 is 6534145122145.

54122154143560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 41963110675236 + 12159043468324 = 6477894^2 + 3486982^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10082604 + ... + 14488036.

Almost surely, 254122154143560 is an apocalyptic number.

It is an amenable number.

54122154143560 is an abundant number, since it is smaller than the sum of its proper divisors (68197892778920).

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

54122154143560 is a wasteful number, since it uses less digits than its factorization.

54122154143560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4406818 (or 4406814 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 43.

The spelling of 54122154143560 in words is "fifty-four trillion, one hundred twenty-two billion, one hundred fifty-four million, one hundred forty-three thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 281 562 1093 1124 1405 2186 2248 2810 4372 5465 5620 8744 10930 11240 21860 43720 307133 614266 1228532 1535665 2457064 3071330 4405433 6142660 8810866 12285320 17621732 22027165 35243464 44054330 88108660 176217320 1237926673 2475853346 4815138269 4951706692 6189633365 9630276538 9903413384 12379266730 19260553076 24075691345 24758533460 38521106152 48151382690 49517066920 96302765380 192605530760 1353053853589 2706107707178 5412215414356 6765269267945 10824430828712 13530538535890 27061077071780 54122154143560