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122148450848 = 2531219932
BaseRepresentation
bin111000111000010011…
…1010111001000100000
3102200021201212020000002
41301300213113020200
54000130000411343
6132040401115132
711552644462334
oct1616047271040
9380251766002
10122148450848
1147891686036
121b80b328aa8
13b69833a468
145caa8057c4
15329d8dd8b8
hex1c709d7220

122148450848 has 54 divisors (see below), whose sum is σ = 248612156037. Its totient is φ = 59074433280.

The previous prime is 122148450839. The next prime is 122148450883. The reversal of 122148450848 is 848054841221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 115184214544 + 6964236304 = 339388^2 + 83452^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=247132.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 61287740 + ... + 61289732.

Almost surely, 2122148450848 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 122148450848

122148450848 is an abundant number, since it is smaller than the sum of its proper divisors (126463705189).

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

122148450848 is an frugal number, since it uses more digits than its factorization.

122148450848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4058 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 47.

The spelling of 122148450848 in words is "one hundred twenty-two billion, one hundred forty-eight million, four hundred fifty thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 961 992 1922 1993 3844 3986 7688 7972 15376 15944 30752 31888 61783 63776 123566 247132 494264 988528 1915273 1977056 3830546 3972049 7661092 7944098 15322184 15888196 30644368 31776392 61288736 63552784 123133519 127105568 246267038 492534076 985068152 1970136304 3817139089 3940272608 7634278178 15268556356 30537112712 61074225424 122148450848