Search a number
-
+
46958993765 = 5601104914897
BaseRepresentation
bin101011101110111110…
…010110000101100101
311111012122122001022022
4223232332112011211
51232133000300030
633323410112525
73251454601235
oct535676260545
9144178561268
1046958993765
1118a08145062
12912657b745
134574a2b958
1423b68d1cc5
15134c900de5
hexaeef96165

46958993765 has 16 divisors (see below), whose sum is σ = 56502154800. Its totient is φ = 37466419200.

The previous prime is 46958993687. The next prime is 46958993779. The reversal of 46958993765 is 56739985964.

It can be written as a sum of positive squares in 8 ways, for example, as 15644506084 + 31314487681 = 125078^2 + 176959^2 .

It is not a de Polignac number, because 46958993765 - 28 = 46958993509 is a prime.

It is a super-4 number, since 4×469589937654 (a number of 44 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3144797 + ... + 3159693.

It is an arithmetic number, because the mean of its divisors is an integer number (3531384675).

Almost surely, 246958993765 is an apocalyptic number.

It is an amenable number.

46958993765 is a deficient number, since it is larger than the sum of its proper divisors (9543161035).

46958993765 is a wasteful number, since it uses less digits than its factorization.

46958993765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16552.

The product of its digits is 440899200, while the sum is 71.

The spelling of 46958993765 in words is "forty-six billion, nine hundred fifty-eight million, nine hundred ninety-three thousand, seven hundred sixty-five".

Divisors: 1 5 601 1049 3005 5245 14897 74485 630449 3152245 8953097 15626953 44765485 78134765 9391798753 46958993765