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3541202064 = 2436192292
BaseRepresentation
bin1101001100010010…
…0111010010010000
3100010210101201000000
43103010213102100
524223021431224
61343220130000
7153516502161
oct32304472220
910123351000
103541202064
111557a09584
12829b36900
1344586434a
14258445768
1515ad4a0c9
hexd3127490

3541202064 has 315 divisors, whose sum is σ = 11244107433. Its totient is φ = 1079713152.

The previous prime is 3541202047. The next prime is 3541202099. The reversal of 3541202064 is 4602021453.

The square root of 3541202064 is 59508.

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

It can be written as a sum of positive squares in only one way, i.e., 1856920464 + 1684281600 = 43092^2 + 41040^2 .

It is a super-2 number, since 2×35412020642 = 25080224116155720192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 122110402 + ... + 122110430.

Almost surely, 23541202064 is an apocalyptic number.

3541202064 is the 59508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3541202064

3541202064 is an abundant number, since it is smaller than the sum of its proper divisors (7702905369).

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

3541202064 is an equidigital number, since it uses as much as digits as its factorization.

3541202064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The cubic root of 3541202064 is about 1524.2290560295.

The spelling of 3541202064 in words is "three billion, five hundred forty-one million, two hundred two thousand, sixty-four".