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3148019838756 = 2232132234432
BaseRepresentation
bin101101110011110100100…
…110101010111100100100
3102010221120220201011202100
4231303310212222330210
5403034121034320011
610410102542212100
7443302603061352
oct55636446527444
912127526634670
103148019838756
111004082148431
1242a135584030
1319ab1aa8cc00
14ac5176b47d2
1556d4957dd56
hex2dcf49aaf24

3148019838756 has 405 divisors, whose sum is σ = 9222730704369. Its totient is φ = 904960824768.

The previous prime is 3148019838703. The next prime is 3148019838763. The reversal of 3148019838756 is 6578389108413.

The square root of 3148019838756 is 1774266.

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

3148019838756 is a `hidden beast` number, since 3 + 1 + 480 + 1 + 9 + 83 + 8 + 75 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 465683408100 + 2682336430656 = 682410^2 + 1637784^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3148019838693 and 3148019838702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 73209763671 + ... + 73209763713.

Almost surely, 23148019838756 is an apocalyptic number.

3148019838756 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3148019838756 is the 1774266-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3148019838756

3148019838756 is an abundant number, since it is smaller than the sum of its proper divisors (6074710865613).

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

3148019838756 is an equidigital number, since it uses as much as digits as its factorization.

3148019838756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 3148019838756 in words is "three trillion, one hundred forty-eight billion, nineteen million, eight hundred thirty-eight thousand, seven hundred fifty-six".