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4006620144 = 243259471589
BaseRepresentation
bin1110111011010000…
…0010101111110000
3101100020011101120200
43232310002233300
531201143321034
61501323435200
7201200465202
oct35664025760
911306141520
104006620144
1117766a601a
12939985b00
134bb0cba67
142a0198772
15186b31a99
hexeed02bf0

4006620144 has 60 divisors (see below), whose sum is σ = 11403046200. Its totient is φ = 1312900992.

The previous prime is 4006620133. The next prime is 4006620151. The reversal of 4006620144 is 4410266004.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 227299 + ... + 244290.

It is an arithmetic number, because the mean of its divisors is an integer number (190050770).

Almost surely, 24006620144 is an apocalyptic number.

It is an amenable number.

4006620144 is an abundant number, since it is smaller than the sum of its proper divisors (7396426056).

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

4006620144 is a wasteful number, since it uses less digits than its factorization.

4006620144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471662 (or 471653 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4006620144 is about 63297.8684001286. The cubic root of 4006620144 is about 1588.2763045833.

Adding to 4006620144 its reverse (4410266004), we get a palindrome (8416886148).

The spelling of 4006620144 in words is "four billion, six million, six hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 354 472 531 708 944 1062 1416 2124 2832 4248 8496 471589 943178 1414767 1886356 2829534 3772712 4244301 5659068 7545424 8488602 11318136 16977204 22636272 27823751 33954408 55647502 67908816 83471253 111295004 166942506 222590008 250413759 333885012 445180016 500827518 667770024 1001655036 1335540048 2003310072 4006620144