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4681480624 = 243161359431
BaseRepresentation
bin1000101110000100…
…11011100110110000
3110002021000212010021
410113002123212300
534041424334444
62052312213224
7224003633362
oct42702334660
913067025107
104681480624
111a92634757
12aa799a214
13597b785a2
14325a6ad32
151c5eda584
hex11709b9b0

4681480624 has 80 divisors (see below), whose sum is σ = 9565102080. Its totient is φ = 2216736000.

The previous prime is 4681480613. The next prime is 4681480627. The reversal of 4681480624 is 4260841864.

It is not an unprimeable number, because it can be changed into a prime (4681480627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10861689 + ... + 10862119.

It is an arithmetic number, because the mean of its divisors is an integer number (119563776).

Almost surely, 24681480624 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 4681480624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4782551040).

4681480624 is an abundant number, since it is smaller than the sum of its proper divisors (4883621456).

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

4681480624 is a wasteful number, since it uses less digits than its factorization.

4681480624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 43.

The square root of 4681480624 is about 68421.3462597748. The cubic root of 4681480624 is about 1672.8657005922.

The spelling of 4681480624 in words is "four billion, six hundred eighty-one million, four hundred eighty thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 31 61 62 122 124 244 248 359 431 488 496 718 862 976 1436 1724 1891 2872 3448 3782 5744 6896 7564 11129 13361 15128 21899 22258 26291 26722 30256 43798 44516 52582 53444 87596 89032 105164 106888 154729 175192 178064 210328 213776 309458 350384 420656 618916 678869 815021 1237832 1357738 1630042 2475664 2715476 3260084 4796599 5430952 6520168 9438469 9593198 10861904 13040336 18876938 19186396 37753876 38372792 75507752 76745584 151015504 292592539 585185078 1170370156 2340740312 4681480624