Search a number
-
+
46213156000 = 25531110110399
BaseRepresentation
bin101011000010100001…
…001100110010100000
311102021200012120020101
4223002201030302200
51224121031443000
633121404152144
73224130226144
oct530241146240
9142250176211
1046213156000
1118665138110
128b58838654
13448636082b
142345825224
1513071c6e6a
hexac284cca0

46213156000 has 192 divisors, whose sum is σ = 125106508800. Its totient is φ = 16636800000.

The previous prime is 46213155979. The next prime is 46213156001. The reversal of 46213156000 is 65131264.

It is a self number, because there is not a number n which added to its sum of digits gives 46213156000.

It is not an unprimeable number, because it can be changed into a prime (46213156001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4438801 + ... + 4449199.

It is an arithmetic number, because the mean of its divisors is an integer number (651596400).

Almost surely, 246213156000 is an apocalyptic number.

46213156000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46213156000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62553254400).

46213156000 is an abundant number, since it is smaller than the sum of its proper divisors (78893352800).

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

46213156000 is a wasteful number, since it uses less digits than its factorization.

46213156000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10536 (or 10518 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 46213156000 its reverse (65131264), we get a palindrome (46278287264).

The spelling of 46213156000 in words is "forty-six billion, two hundred thirteen million, one hundred fifty-six thousand".