Search a number
-
+
46362676000 = 255311590669
BaseRepresentation
bin101011001011011011…
…100100101100100000
311102200002112222010011
4223023123210230200
51224422321113000
633144305014304
73230624146414
oct531333445440
9142602488104
1046362676000
1118731581763
128b9a924394
1344ab3220c4
14235b626d44
1513153ae2ba
hexacb6e4b20

46362676000 has 48 divisors (see below), whose sum is σ = 113913104760. Its totient is φ = 18545068800.

The previous prime is 46362675991. The next prime is 46362676081. The reversal of 46362676000 is 67626364.

It can be written as a sum of positive squares in 4 ways, for example, as 24272393616 + 22090282384 = 155796^2 + 148628^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5791335 + ... + 5799334.

Almost surely, 246362676000 is an apocalyptic number.

46362676000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46362676000 is an abundant number, since it is smaller than the sum of its proper divisors (67550428760).

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

46362676000 is a wasteful number, since it uses less digits than its factorization.

46362676000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11590694 (or 11590676 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 40.

The spelling of 46362676000 in words is "forty-six billion, three hundred sixty-two million, six hundred seventy-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 11590669 23181338 46362676 57953345 92725352 115906690 185450704 231813380 289766725 370901408 463626760 579533450 927253520 1159066900 1448833625 1854507040 2318133800 2897667250 4636267600 5795334500 9272535200 11590669000 23181338000 46362676000