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486661232640 = 21135113146457
BaseRepresentation
bin1110001010011110100…
…01010001100000000000
31201112011020222010022210
413011033101101200000
530433140233421030
61011322531102120
750105630136642
oct7051721214000
91645136863283
10486661232640
11178434640120
127a399a41940
1336b7982681b
14197a98b2892
15c9d4ab5bb0
hex714f451800

486661232640 has 384 divisors, whose sum is σ = 1753302620160. Its totient is φ = 114170265600.

The previous prime is 486661232597. The next prime is 486661232641. The reversal of 486661232640 is 46232166684.

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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 486661232640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486661232641) 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, 10452292 + ... + 10498748.

It is an arithmetic number, because the mean of its divisors is an integer number (4565892240).

Almost surely, 2486661232640 is an apocalyptic number.

486661232640 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 486661232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876651310080).

486661232640 is an abundant number, since it is smaller than the sum of its proper divisors (1266641387520).

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

486661232640 is a wasteful number, since it uses less digits than its factorization.

486661232640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46529 (or 46509 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 486661232640 in words is "four hundred eighty-six billion, six hundred sixty-one million, two hundred thirty-two thousand, six hundred forty".