Search a number
-
+
486026680320 = 2113352237883
BaseRepresentation
bin1110001001010010111…
…00101001100000000000
31201110112000221112012000
413010221130221200000
530430340312232240
61011135542304000
750054123422116
oct7045134514000
91643460845160
10486026680320
11178139432615
127a241428000
1336aa8220b8c
14197494d3ab6
15c999020430
hex7129729800

486026680320 has 384 divisors, whose sum is σ = 1735640524800. Its totient is φ = 129009549312.

The previous prime is 486026680313. The next prime is 486026680327. The reversal of 486026680320 is 23086620684.

486026680320 is a `hidden beast` number, since 4 + 8 + 60 + 266 + 8 + 0 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (486026680313) and next prime (486026680327).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486026680327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61651099 + ... + 61658981.

It is an arithmetic number, because the mean of its divisors is an integer number (4519897200).

Almost surely, 2486026680320 is an apocalyptic number.

486026680320 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 486026680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867820262400).

486026680320 is an abundant number, since it is smaller than the sum of its proper divisors (1249613844480).

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

486026680320 is a wasteful number, since it uses less digits than its factorization.

486026680320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8142 (or 8116 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 486026680320 in words is "four hundred eighty-six billion, twenty-six million, six hundred eighty thousand, three hundred twenty".