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5425577640 = 233557233467
BaseRepresentation
bin1010000110110001…
…11011111010101000
3112000010011220100000
411003120323322220
542102421441030
62254212543000
7251310435420
oct50330737250
915003156300
105425577640
11233466286a
121075021a60
13686087292
14396803480
1521b4bd860
hex14363bea8

5425577640 has 384 divisors, whose sum is σ = 21813442560. Its totient is φ = 1185871104.

The previous prime is 5425577611. The next prime is 5425577741. The reversal of 5425577640 is 467755245.

5425577640 is a `hidden beast` number, since 54 + 2 + 557 + 7 + 6 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1563187 + ... + 1566653.

It is an arithmetic number, because the mean of its divisors is an integer number (56805840).

Almost surely, 25425577640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5425577640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10906721280).

5425577640 is an abundant number, since it is smaller than the sum of its proper divisors (16387864920).

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

5425577640 is a wasteful number, since it uses less digits than its factorization.

5425577640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3523 (or 3507 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 45.

The square root of 5425577640 is about 73658.5204847341. The cubic root of 5425577640 is about 1757.1762614539.

The spelling of 5425577640 in words is "five billion, four hundred twenty-five million, five hundred seventy-seven thousand, six hundred forty".