Search a number
-
+
465204613920 = 2535969176279
BaseRepresentation
bin1101100010100000101…
…10110001001100100000
31122110202220112221211120
412301100112301030200
530110214340121140
6553413445212240
745416126655144
oct6612026611440
91573686487746
10465204613920
1116a323970982
12761b0101080
1334b3a438527
1418731d7b224
15c17b01e1d0
hex6c505b1320

465204613920 has 48 divisors (see below), whose sum is σ = 1465394535360. Its totient is φ = 124054563584.

The previous prime is 465204613883. The next prime is 465204613927. The reversal of 465204613920 is 29316402564.

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

It is not an unprimeable number, because it can be changed into a prime (465204613927) 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, 484587660 + ... + 484588619.

It is an arithmetic number, because the mean of its divisors is an integer number (30529052820).

Almost surely, 2465204613920 is an apocalyptic number.

465204613920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465204613920 is an abundant number, since it is smaller than the sum of its proper divisors (1000189921440).

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

465204613920 is a wasteful number, since it uses less digits than its factorization.

465204613920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969176297 (or 969176289 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 465204613920 in words is "four hundred sixty-five billion, two hundred four million, six hundred thirteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 969176279 1938352558 2907528837 3876705116 4845881395 5815057674 7753410232 9691762790 11630115348 14537644185 15506820464 19383525580 23260230696 29075288370 31013640928 38767051160 46520461392 58150576740 77534102320 93040922784 116301153480 155068204640 232602306960 465204613920