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3823753415364 = 223217219210092
BaseRepresentation
bin110111101001001001011…
…101101100101011000100
3111112112202221122112121100
4313221021131230223010
51000122021333242424
612044335202020100
7543154113521001
oct67511135545304
914475687575540
103823753415364
111244710132a63
1251909b347630
1321976998a92c
14d30dbc2a8a8
15696e8069dc9
hex37a4976cac4

3823753415364 has 243 divisors, whose sum is σ = 10847201546727. Its totient is φ = 1135345268736.

The previous prime is 3823753415309. The next prime is 3823753415371. The reversal of 3823753415364 is 4635143573283.

The square root of 3823753415364 is 1955442.

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

3823753415364 is a `hidden beast` number, since 3 + 8 + 2 + 3 + 75 + 34 + 1 + 536 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36027836100 + 3787725579264 = 189810^2 + 1946208^2 .

It is a super-2 number, since 2×38237534153642 (a number of 26 digits) contains 22 as substring.

Its product of digits (21772800) is a multiple of the sum of its prime divisors (1050).

It is a self number, because there is not a number n which added to its sum of digits gives 3823753415364.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3789646092 + ... + 3789647100.

Almost surely, 23823753415364 is an apocalyptic number.

3823753415364 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3823753415364 is the 1955442-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3823753415364

3823753415364 is an abundant number, since it is smaller than the sum of its proper divisors (7023448131363).

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

3823753415364 is a wasteful number, since it uses less digits than its factorization.

3823753415364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100 (or 1050 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 54.

The spelling of 3823753415364 in words is "three trillion, eight hundred twenty-three billion, seven hundred fifty-three million, four hundred fifteen thousand, three hundred sixty-four".