Search a number
-
+
4645116272220 = 223517291012336673
BaseRepresentation
bin100001110011000011010…
…0000010101111001011100
3121110001212010202211222120
41003212012200111321130
51102101144231202340
613513534214342540
7656412211563354
oct103460640257134
917401763684876
104645116272220
111530a8a046256
1263030805aa50
132790567872b8
14120b7947bb64
1580c6ba824d0
hex43986815e5c

4645116272220 has 384 divisors, whose sum is σ = 14451245303040. Its totient is φ = 1109537587200.

The previous prime is 4645116272213. The next prime is 4645116272227. The reversal of 4645116272220 is 222726115464.

It is an interprime number because it is at equal distance from previous prime (4645116272213) and next prime (4645116272227).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4645116272227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 696102804 + ... + 696109476.

It is an arithmetic number, because the mean of its divisors is an integer number (37633451310).

Almost surely, 24645116272220 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 4645116272220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7225622651520).

4645116272220 is an abundant number, since it is smaller than the sum of its proper divisors (9806129030820).

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

4645116272220 is a wasteful number, since it uses less digits than its factorization.

4645116272220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7065 (or 7063 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 4645116272220 in words is "four trillion, six hundred forty-five billion, one hundred sixteen million, two hundred seventy-two thousand, two hundred twenty".