Search a number
-
+
6146551464 = 2332389125113
BaseRepresentation
bin1011011100101110…
…01110111010101000
3120212100211011111020
411232113032322220
5100042004121324
62453525532440
7305213553054
oct55627167250
916770734436
106146551464
1126746280a9
121236574120
1376c55b101
1442447ac64
1525e935679
hex16e5ceea8

6146551464 has 64 divisors (see below), whose sum is σ = 16214774400. Its totient is φ = 1937734656.

The previous prime is 6146551447. The next prime is 6146551507. The reversal of 6146551464 is 4641556416.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13429 + ... + 111684.

It is an arithmetic number, because the mean of its divisors is an integer number (253355850).

Almost surely, 26146551464 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 6146551464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8107387200).

6146551464 is an abundant number, since it is smaller than the sum of its proper divisors (10068222936).

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

6146551464 is a wasteful number, since it uses less digits than its factorization.

6146551464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125234 (or 125230 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 6146551464 is about 78399.9455612056. The cubic root of 6146551464 is about 1831.7962857393.

The spelling of 6146551464 in words is "six billion, one hundred forty-six million, five hundred fifty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 89 92 138 178 184 267 276 356 534 552 712 1068 2047 2136 4094 6141 8188 12282 16376 24564 49128 125113 250226 375339 500452 750678 1000904 1501356 2877599 3002712 5755198 8632797 11135057 11510396 17265594 22270114 23020792 33405171 34531188 44540228 66810342 69062376 89080456 133620684 256106311 267241368 512212622 768318933 1024425244 1536637866 2048850488 3073275732 6146551464