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55740497693568 = 27317371193193441
BaseRepresentation
bin11001010110010000110001…
…00100001000101110000000
321022100201222010022210000120
430223020120210020232000
524301223014402143233
6314314455305220240
714512055331630252
oct1453103044105600
9238321863283016
1055740497693568
1116840459883886
126302a6ba91680
1325143ca161a5c
14da9bd69b7cd2
15669e119804b3
hex32b218908b80

55740497693568 has 256 divisors, whose sum is σ = 161142973784640. Its totient is φ = 17000237629440.

The previous prime is 55740497693557. The next prime is 55740497693581. The reversal of 55740497693568 is 86539679404755.

It is a super-3 number, since 3×557404976935683 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55740497693493 and 55740497693502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288055728 + ... + 288249168.

Almost surely, 255740497693568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55740497693568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80571486892320).

55740497693568 is an abundant number, since it is smaller than the sum of its proper divisors (105402476091072).

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

55740497693568 is a wasteful number, since it uses less digits than its factorization.

55740497693568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194705 (or 194693 counting only the distinct ones).

The product of its (nonzero) digits is 6858432000, while the sum is 78.

The spelling of 55740497693568 in words is "fifty-five trillion, seven hundred forty billion, four hundred ninety-seven million, six hundred ninety-three thousand, five hundred sixty-eight".