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4085156992 = 2777957713
BaseRepresentation
bin1111001101111110…
…1000110010000000
3101112200221110212211
43303133220302000
531331300010432
61513211031504
7203143155460
oct36337506200
911480843784
104085156992
111806a67a04
1296013b594
13501469177
142aa79dba0
1518d996d47
hexf37e8c80

4085156992 has 64 divisors (see below), whose sum is σ = 9418924800. Its totient is φ = 1728589824.

The previous prime is 4085156963. The next prime is 4085157023. The reversal of 4085156992 is 2996515804.

4085156992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41928 + ... + 99640.

It is an arithmetic number, because the mean of its divisors is an integer number (147170700).

Almost surely, 24085156992 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 4085156992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4709462400).

4085156992 is an abundant number, since it is smaller than the sum of its proper divisors (5333767808).

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

4085156992 is an equidigital number, since it uses as much as digits as its factorization.

4085156992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57813 (or 57801 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 49.

The square root of 4085156992 is about 63915.2328635357. The cubic root of 4085156992 is about 1598.5869023393.

The spelling of 4085156992 in words is "four billion, eighty-five million, one hundred fifty-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 112 128 158 224 316 448 553 632 896 1106 1264 2212 2528 4424 5056 8848 10112 17696 35392 57713 70784 115426 230852 403991 461704 807982 923408 1615964 1846816 3231928 3693632 4559327 6463856 7387264 9118654 12927712 18237308 25855424 31915289 36474616 51710848 63830578 72949232 127661156 145898464 255322312 291796928 510644624 583593856 1021289248 2042578496 4085156992