Search a number
-
+
46606060350 = 23252234503001
BaseRepresentation
bin101011011001111100…
…000000101100111110
311110022001112011200100
4223121330000230332
51230422122412400
633224401341530
73236640655653
oct533174005476
9143261464610
1046606060350
11188469a6a53
1290483378a6
134519889505
142381a9dc2a
15132b938100
hexad9f00b3e

46606060350 has 72 divisors (see below), whose sum is σ = 130659106032. Its totient is φ = 11887920000.

The previous prime is 46606060321. The next prime is 46606060351. The reversal of 46606060350 is 5306060664.

46606060350 is a `hidden beast` number, since 46 + 6 + 0 + 6 + 0 + 603 + 5 + 0 = 666.

It is a super-2 number, since 2×466060603502 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46606060351) 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 35 ways as a sum of consecutive naturals, for example, 2241151 + ... + 2261850.

It is an arithmetic number, because the mean of its divisors is an integer number (1814709806).

Almost surely, 246606060350 is an apocalyptic number.

46606060350 is an abundant number, since it is smaller than the sum of its proper divisors (84053045682).

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

46606060350 is a wasteful number, since it uses less digits than its factorization.

46606060350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4503042 (or 4503034 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 46606060350 in words is "forty-six billion, six hundred six million, sixty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 45 46 50 69 75 90 115 138 150 207 225 230 345 414 450 575 690 1035 1150 1725 2070 3450 5175 10350 4503001 9006002 13509003 22515005 27018006 40527009 45030010 67545015 81054018 103569023 112575025 135090030 202635045 207138046 225150050 310707069 337725075 405270090 517845115 621414138 675450150 932121207 1013175225 1035690230 1553535345 1864242414 2026350450 2589225575 3107070690 4660606035 5178451150 7767676725 9321212070 15535353450 23303030175 46606060350