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3574525680 = 24335112331211
BaseRepresentation
bin1101010100001110…
…1110111011110000
3100020010002201102000
43111003232323300
524310034310210
61350410254000
7154402652445
oct32503567360
910203081360
103574525680
1115747aa060
12839127300
1344c73106b
1425ca3b9cc
1515dc2dac0
hexd50eeef0

3574525680 has 640 divisors, whose sum is σ = 14536212480. Its totient is φ = 798336000.

The previous prime is 3574525631. The next prime is 3574525681. The reversal of 3574525680 is 865254753.

3574525680 is a `hidden beast` number, since 35 + 7 + 4 + 52 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3574525681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16940775 + ... + 16940985.

It is an arithmetic number, because the mean of its divisors is an integer number (22712832).

Almost surely, 23574525680 is an apocalyptic number.

3574525680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3574525680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7268106240).

3574525680 is an abundant number, since it is smaller than the sum of its proper divisors (10961686800).

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

3574525680 is a wasteful number, since it uses less digits than its factorization.

3574525680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The square root of 3574525680 is about 59787.3371208319. The cubic root of 3574525680 is about 1528.9952649898.

It can be divided in two parts, 35745 and 25680, that added together give a triangular number (61425 = T350).

The spelling of 3574525680 in words is "three billion, five hundred seventy-four million, five hundred twenty-five thousand, six hundred eighty".