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57550437363440 = 2457102768638149
BaseRepresentation
bin11010001010111100000010…
…11000000010111011110000
321112202202201221010111020102
431011132001120002323300
530020401243431112230
6322222150025531532
715056611326162560
oct1505360130027360
9245682657114212
1057550437363440
111737900461156a
1265557b1043ba8
132615ca1730108
14102d6554c2da0
1569c043e2b045
hex345781602ef0

57550437363440 has 40 divisors (see below), whose sum is σ = 152919733567200. Its totient is φ = 19731578524416.

The previous prime is 57550437363437. The next prime is 57550437363449. The reversal of 57550437363440 is 4436373405575.

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

It is a super-3 number, since 3×575504373634403 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57550437363449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51384318515 + ... + 51384319634.

It is an arithmetic number, because the mean of its divisors is an integer number (3822993339180).

Almost surely, 257550437363440 is an apocalyptic number.

It is an amenable number.

57550437363440 is an abundant number, since it is smaller than the sum of its proper divisors (95369296203760).

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

57550437363440 is a wasteful number, since it uses less digits than its factorization.

57550437363440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102768638169 (or 102768638163 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 56.

The spelling of 57550437363440 in words is "fifty-seven trillion, five hundred fifty billion, four hundred thirty-seven million, three hundred sixty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 102768638149 205537276298 411074552596 513843190745 719380467043 822149105192 1027686381490 1438760934086 1644298210384 2055372762980 2877521868172 3596902335215 4110745525960 5755043736344 7193804670430 8221491051920 11510087472688 14387609340860 28775218681720 57550437363440