Search a number
-
+
17129146368 = 21132787947
BaseRepresentation
bin11111111001111101…
…00000100000000000
31122012202111210102110
433330332200200000
5240040030140433
611511413015320
71144322225145
oct177476404000
948182453373
1017129146368
11729aa58214
1233a0624540
1317cc9a0489
14b86cda3cc
156a3bd7963
hex3fcfa0800

17129146368 has 48 divisors (see below), whose sum is σ = 45666588240. Its totient is φ = 5709713408.

The previous prime is 17129146313. The next prime is 17129146421. The reversal of 17129146368 is 86364192171.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1387830 + ... + 1400117.

It is an arithmetic number, because the mean of its divisors is an integer number (951387255).

Almost surely, 217129146368 is an apocalyptic number.

It is an amenable number.

17129146368 is an abundant number, since it is smaller than the sum of its proper divisors (28537441872).

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

17129146368 is an equidigital number, since it uses as much as digits as its factorization.

17129146368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787972 (or 2787952 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The spelling of 17129146368 in words is "seventeen billion, one hundred twenty-nine million, one hundred forty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 2787947 5575894 8363841 11151788 16727682 22303576 33455364 44607152 66910728 89214304 133821456 178428608 267642912 356857216 535285824 713714432 1070571648 1427428864 2141143296 2854857728 4282286592 5709715456 8564573184 17129146368