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4007556137 = 13481763997
BaseRepresentation
bin1110111011011110…
…0111010000101001
3101100021220221112002
43232313213100221
531201413244022
61501355500345
7201211444064
oct35667472051
911307827462
104007556137
111777185272
1293a1576b5
134bb368ac0
142a035d8db
15186c69092
hexeede7429

4007556137 has 8 divisors (see below), whose sum is σ = 4316793096. Its totient is φ = 3698456832.

The previous prime is 4007556103. The next prime is 4007556211. The reversal of 4007556137 is 7316557004.

4007556137 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 53158681 + 3954397456 = 7291^2 + 62884^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4007556137 - 212 = 4007552041 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4007556137.

It is not an unprimeable number, because it can be changed into a prime (4007556037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30623 + ... + 94619.

It is an arithmetic number, because the mean of its divisors is an integer number (539599137).

Almost surely, 24007556137 is an apocalyptic number.

It is an amenable number.

4007556137 is a deficient number, since it is larger than the sum of its proper divisors (309236959).

4007556137 is a wasteful number, since it uses less digits than its factorization.

4007556137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68827.

The product of its (nonzero) digits is 88200, while the sum is 38.

The square root of 4007556137 is about 63305.2615269853. The cubic root of 4007556137 is about 1588.3999748840.

The spelling of 4007556137 in words is "four billion, seven million, five hundred fifty-six thousand, one hundred thirty-seven".

Divisors: 1 13 4817 62621 63997 831961 308273549 4007556137