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3545576020900 = 22522924321512
BaseRepresentation
bin110011100110000100110…
…011001001101110100100
3110112221202021210201212201
4303212010303021232210
5431042314430132100
611312452023024244
7514105451630104
oct63460463115644
913487667721781
103545576020900
11114774125a251
124931a629b084
131c9467010084
14c386d08d204
156236664836a
hex33984cc9ba4

3545576020900 has 243 divisors, whose sum is σ = 8212359631203. Its totient is φ = 1328623632000.

The previous prime is 3545576020867. The next prime is 3545576020907. The reversal of 3545576020900 is 90206755453.

The square root of 3545576020900 is 1882970.

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

It can be written as a sum of positive squares in 4 ways, for example, as 48735860644 + 3496840160256 = 220762^2 + 1869984^2 .

It is a super-2 number, since 2×35455760209002 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3545576020907) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 23480635825 + ... + 23480635975.

Almost surely, 23545576020900 is an apocalyptic number.

3545576020900 is the 1882970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3545576020900

3545576020900 is an abundant number, since it is smaller than the sum of its proper divisors (4666783610303).

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

3545576020900 is a wasteful number, since it uses less digits than its factorization.

3545576020900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 46.

The spelling of 3545576020900 in words is "three trillion, five hundred forty-five billion, five hundred seventy-six million, twenty thousand, nine hundred".