Search a number
-
+
46180196244 = 2232713173773307
BaseRepresentation
bin101011000000100011…
…011101111110010100
311102012101012000221200
4223000203131332110
51224034112234434
633114225512500
73223250122440
oct530043357624
9142171160850
1046180196244
1118648575a46
128b497a2730
13447c590610
1423412c5820
151304366199
hexac08ddf94

46180196244 has 576 divisors, whose sum is σ = 158890507776. Its totient is φ = 10964533248.

The previous prime is 46180196243. The next prime is 46180196263. The reversal of 46180196244 is 44269108164.

46180196244 is a `hidden beast` number, since 4 + 6 + 1 + 8 + 0 + 19 + 624 + 4 = 666.

46180196244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×461801962442 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 46180196244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46180196243) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 150423939 + ... + 150424245.

It is an arithmetic number, because the mean of its divisors is an integer number (275851576).

Almost surely, 246180196244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46180196244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79445253888).

46180196244 is an abundant number, since it is smaller than the sum of its proper divisors (112710311532).

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

46180196244 is a wasteful number, since it uses less digits than its factorization.

46180196244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 46180196244 in words is "forty-six billion, one hundred eighty million, one hundred ninety-six thousand, two hundred forty-four".