Search a number
-
+
55322674598016 = 27327371272236547
BaseRepresentation
bin11001001010000110100000…
…10111100001000010000000
321020212210111022110100021200
430211003100113201002000
524222401314144114031
6313354515202221200
714436634310130450
oct1445032027410200
9236783438410250
1055322674598016
111669a23a607a51
126255aa3954800
1324b3ba1152037
14d938bb6b7d60
1565e10a4c48e6
hex3250d05e1080

55322674598016 has 768 divisors, whose sum is σ = 189201151426560. Its totient is φ = 15187437232128.

The previous prime is 55322674597999. The next prime is 55322674598041. The reversal of 55322674598016 is 61089547622355.

55322674598016 is a `hidden beast` number, since 5 + 5 + 3 + 2 + 26 + 7 + 4 + 598 + 0 + 16 = 666.

It is a super-2 number, since 2×553226745980162 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8450076855 + ... + 8450083401.

It is an arithmetic number, because the mean of its divisors is an integer number (246355665920).

It is a 1-persistent number, because it is pandigital, but 2⋅55322674598016 = 110645349196032 is not.

Almost surely, 255322674598016 is an apocalyptic number.

55322674598016 is a gapful number since it is divisible by the number (56) 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 55322674598016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94600575713280).

55322674598016 is an abundant number, since it is smaller than the sum of its proper divisors (133878476828544).

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

55322674598016 is a wasteful number, since it uses less digits than its factorization.

55322674598016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6961 (or 6946 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 55322674598016 in words is "fifty-five trillion, three hundred twenty-two billion, six hundred seventy-four million, five hundred ninety-eight thousand, sixteen".