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4680890784 = 253233149103
BaseRepresentation
bin1000101110000000…
…01011100110100000
3110002012220220000100
410113000023212200
534041302001114
62052251422400
7223665625623
oct42700134640
913065826010
104680890784
111a92271589
12aa7754a00
135979ccc7b
14325955dba
151c5e20909
hex11700b9a0

4680890784 has 72 divisors (see below), whose sum is σ = 13351770432. Its totient is φ = 1555551360.

The previous prime is 4680890779. The next prime is 4680890791. The reversal of 4680890784 is 4870980864.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×46808907842 = 43821477063472269312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4680890784.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70777 + ... + 119879.

It is an arithmetic number, because the mean of its divisors is an integer number (185441256).

Almost surely, 24680890784 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 4680890784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6675885216).

4680890784 is an abundant number, since it is smaller than the sum of its proper divisors (8670879648).

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

4680890784 is a wasteful number, since it uses less digits than its factorization.

4680890784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49450 (or 49439 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 4680890784 is about 68417.0357732634. The cubic root of 4680890784 is about 1672.7954404453.

The spelling of 4680890784 in words is "four billion, six hundred eighty million, eight hundred ninety thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 331 662 993 1324 1986 2648 2979 3972 5296 5958 7944 10592 11916 15888 23832 31776 47664 49103 95328 98206 147309 196412 294618 392824 441927 589236 785648 883854 1178472 1571296 1767708 2356944 3535416 4713888 7070832 14141664 16253093 32506186 48759279 65012372 97518558 130024744 146277837 195037116 260049488 292555674 390074232 520098976 585111348 780148464 1170222696 1560296928 2340445392 4680890784