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4984395595776 = 21636172192
BaseRepresentation
bin100100010001000010100…
…1000010000000000000000
3122122111121002200021000000
41020202011020100000000
51123131020233031101
614333444424000000
71023052653341232
oct110420510200000
918574532607000
104984395595776
111651963409723
12686014000000
132a2046269a9c
14133363190252
15899c781e486
hex48885210000

4984395595776 has 1071 divisors, whose sum is σ = 16756762951101. Its totient is φ = 1481430269952.

The previous prime is 4984395595703. The next prime is 4984395595783. The reversal of 4984395595776 is 6775955934894.

The square root of 4984395595776 is 2232576.

It is a perfect power (a square), and thus also a powerful number.

4984395595776 is a `hidden beast` number, since 4 + 9 + 8 + 4 + 3 + 9 + 559 + 57 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3880584806400 + 1103810789376 = 1969920^2 + 1050624^2 .

It is a super-3 number, since 3×49843955957763 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 4984395595695 and 4984395595704.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 262336610295 + ... + 262336610313.

Almost surely, 24984395595776 is an apocalyptic number.

4984395595776 is the 2232576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4984395595776

4984395595776 is an abundant number, since it is smaller than the sum of its proper divisors (11772367355325).

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

4984395595776 is an frugal number, since it uses more digits than its factorization.

4984395595776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 41 counting only the distinct ones).

The product of its digits is 10287648000, while the sum is 81.

Multiplying 4984395595776 by its sum of digits (81), we get a square (403736043257856 = 200931842).

4984395595776 divided by its sum of digits (81) gives a square (61535748096 = 2480642).

The spelling of 4984395595776 in words is "four trillion, nine hundred eighty-four billion, three hundred ninety-five million, five hundred ninety-five thousand, seven hundred seventy-six".