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55278342165024 = 2536112331431701
BaseRepresentation
bin11001001000110011111011…
…11100101101001000100000
321020201120001201011102000000
430210121331330231020200
524221140021043240044
6313322304140300000
714433504564512616
oct1444317574551040
9236646051142000
1055278342165024
1116682460059980
126249390b41600
1324ac957635a74
14d916b397d6b6
1565cdb349dd69
hex32467df2d220

55278342165024 has 1344 divisors, whose sum is σ = 192452712431616. Its totient is φ = 15447801600000.

The previous prime is 55278342164977. The next prime is 55278342165037. The reversal of 55278342165024 is 42056124387255.

55278342165024 is a `hidden beast` number, since 5 + 5 + 2 + 7 + 83 + 42 + 16 + 502 + 4 = 666.

It is a super-3 number, since 3×552783421650243 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 78856407874 + ... + 78856408574.

It is an arithmetic number, because the mean of its divisors is an integer number (143193982464).

Almost surely, 255278342165024 is an apocalyptic number.

55278342165024 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55278342165024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96226356215808).

55278342165024 is an abundant number, since it is smaller than the sum of its proper divisors (137174370266592).

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

55278342165024 is a wasteful number, since it uses less digits than its factorization.

55278342165024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 55278342165024 in words is "fifty-five trillion, two hundred seventy-eight billion, three hundred forty-two million, one hundred sixty-five thousand, twenty-four".