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722121118164 = 223220058919949
BaseRepresentation
bin10101000001000011100…
…01011101000111010100
32120000220212021122002200
422200201301131013110
543312401001240124
61311423213404500
7103112556141255
oct12404161350724
92500825248080
10722121118164
11259282600136
12b7b50a99730
1353132417a84
1426d451b2b2c
1513bb615cbc9
hexa821c5d1d4

722121118164 has 18 divisors (see below), whose sum is σ = 1825361715450. Its totient is φ = 240707039376.

The previous prime is 722121118163. The next prime is 722121118193. The reversal of 722121118164 is 461811121227.

It can be written as a sum of positive squares in only one way, i.e., 570792338064 + 151328780100 = 755508^2 + 389010^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 20058919949 = 722121118164 / (7 + 2 + 2 + 1 + 2 + 1 + 1 + 1 + 8 + 1 + 6 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (722121118163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10029459939 + ... + 10029460010.

Almost surely, 2722121118164 is an apocalyptic number.

It is an amenable number.

722121118164 is an abundant number, since it is smaller than the sum of its proper divisors (1103240597286).

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

722121118164 is a wasteful number, since it uses less digits than its factorization.

722121118164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20058919959 (or 20058919954 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The spelling of 722121118164 in words is "seven hundred twenty-two billion, one hundred twenty-one million, one hundred eighteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 20058919949 40117839898 60176759847 80235679796 120353519694 180530279541 240707039388 361060559082 722121118164