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3821923340676 = 2232728925232
BaseRepresentation
bin110111100111011100011…
…000100001000110000100
3111112101001102001010002100
4313213130120201012010
51000104244333400201
612043433425112100
7543060552244200
oct67473430410604
914471042033070
103821923340676
1112439610a7841
1251886a488630
1321953779a8bc
14d2da6b65b00
156963c570886
hex379dc621184

3821923340676 has 243 divisors, whose sum is σ = 11387739930021. Its totient is φ = 1077644227968.

The previous prime is 3821923340657. The next prime is 3821923340693. The reversal of 3821923340676 is 6760433291283.

The square root of 3821923340676 is 1954974.

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

3821923340676 is a `hidden beast` number, since 3 + 8 + 219 + 23 + 340 + 67 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 733890342276 + 3088032998400 = 856674^2 + 1757280^2 .

It is a super-3 number, since 3×38219233406763 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7307692551 + ... + 7307693073.

Almost surely, 23821923340676 is an apocalyptic number.

3821923340676 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3821923340676 is the 1954974-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3821923340676

3821923340676 is an abundant number, since it is smaller than the sum of its proper divisors (7565816589345).

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

3821923340676 is an equidigital number, since it uses as much as digits as its factorization.

3821923340676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 3821923340676 in words is "three trillion, eight hundred twenty-one billion, nine hundred twenty-three million, three hundred forty thousand, six hundred seventy-six".