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2281138998336 = 263411219072
BaseRepresentation
bin100001001100011110011…
…110101100110001000000
322002002000111110201110000
4201030132132230301000
5244333233040421321
64503535113240000
7323543515363362
oct41143636546100
98062014421400
102281138998336
117aa47554a400
1230a124a03000
13137158971963
147c59cabad32
153e50e90b826
hex2131e7acc40

2281138998336 has 315 divisors, whose sum is σ = 7436522820727. Its totient is φ = 690891759360.

The previous prime is 2281138998293. The next prime is 2281138998451. The reversal of 2281138998336 is 6338998311822.

The square root of 2281138998336 is 1510344.

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

2281138998336 is a `hidden beast` number, since 2 + 2 + 81 + 138 + 9 + 98 + 336 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1196191495 + ... + 1196193401.

Almost surely, 22281138998336 is an apocalyptic number.

2281138998336 is the 1510344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2281138998336

2281138998336 is an abundant number, since it is smaller than the sum of its proper divisors (5155383822391).

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

2281138998336 is an frugal number, since it uses more digits than its factorization.

2281138998336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3860 (or 1923 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 63.

The spelling of 2281138998336 in words is "two trillion, two hundred eighty-one billion, one hundred thirty-eight million, nine hundred ninety-eight thousand, three hundred thirty-six".