Search a number
-
+
6146369152 = 27711623617
BaseRepresentation
bin1011011100101101…
…00010011010000000
3120212100110220101221
411232112202122000
5100041432303102
62453522004424
7305212163410
oct55626423200
916770426357
106146369152
112674513130
1212364a6714
1376c4c6131
14424430640
1525e8eb637
hex16e5a2680

6146369152 has 64 divisors (see below), whose sum is σ = 15266168640. Its totient is φ = 2394685440.

The previous prime is 6146369149. The next prime is 6146369153. The reversal of 6146369152 is 2519636416.

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

It is a junction number, because it is equal to n+sod(n) for n = 6146369099 and 6146369108.

It is not an unprimeable number, because it can be changed into a prime (6146369153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 301953 + ... + 321664.

It is an arithmetic number, because the mean of its divisors is an integer number (238533885).

Almost surely, 26146369152 is an apocalyptic number.

It is an amenable number.

6146369152 is an abundant number, since it is smaller than the sum of its proper divisors (9119799488).

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

6146369152 is a wasteful number, since it uses less digits than its factorization.

6146369152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623649 (or 623637 counting only the distinct ones).

The product of its digits is 233280, while the sum is 43.

The square root of 6146369152 is about 78398.7828476948. The cubic root of 6146369152 is about 1831.7781746761.

The spelling of 6146369152 in words is "six billion, one hundred forty-six million, three hundred sixty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 1232 1408 2464 4928 9856 623617 1247234 2494468 4365319 4988936 6859787 8730638 9977872 13719574 17461276 19955744 27439148 34922552 39911488 48018509 54878296 69845104 79822976 96037018 109756592 139690208 192074036 219513184 279380416 384148072 439026368 558760832 768296144 878052736 1536592288 3073184576 6146369152