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4686461984 = 254317211979
BaseRepresentation
bin1000101110101010…
…11011110000100000
3110002121101221021002
410113111123300200
534044213240414
62053011051132
7224064161321
oct42725336040
913077357232
104686461984
111a95427286
12aa95a0aa8
13598c00a39
143265a6448
151c66714de
hex11755bc20

4686461984 has 48 divisors (see below), whose sum is σ = 9451300320. Its totient is φ = 2286251520.

The previous prime is 4686461971. The next prime is 4686462013. The reversal of 4686461984 is 4891646864.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2367107 + ... + 2369085.

It is an arithmetic number, because the mean of its divisors is an integer number (196902090).

Almost surely, 24686461984 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 4686461984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4725650160).

4686461984 is an abundant number, since it is smaller than the sum of its proper divisors (4764838336).

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

4686461984 is a wasteful number, since it uses less digits than its factorization.

4686461984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3753 (or 3745 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 56.

The square root of 4686461984 is about 68457.7386713876. The cubic root of 4686461984 is about 1673.4588314878.

The spelling of 4686461984 in words is "four billion, six hundred eighty-six million, four hundred sixty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 43 86 172 344 688 1376 1721 1979 3442 3958 6884 7916 13768 15832 27536 31664 55072 63328 74003 85097 148006 170194 296012 340388 592024 680776 1184048 1361552 2368096 2723104 3405859 6811718 13623436 27246872 54493744 108987488 146451937 292903874 585807748 1171615496 2343230992 4686461984