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4920681960 = 233551797307
BaseRepresentation
bin1001001010100101…
…11010010111101000
3110200221010112200000
410211102322113220
540034143310320
62132135143000
7232640051355
oct44522722750
913627115600
104920681960
1120a5662207
12b53b14a60
136055a9a3c
1434973562c
151dbed9c90
hex1254ba5e8

4920681960 has 384 divisors, whose sum is σ = 17798901120. Its totient is φ = 1218281472.

The previous prime is 4920681919. The next prime is 4920681971. The reversal of 4920681960 is 691860294.

It is a happy number.

It is a super-2 number, since 2×49206819602 = 48426221902938883200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16028127 + ... + 16028433.

It is an arithmetic number, because the mean of its divisors is an integer number (46351305).

Almost surely, 24920681960 is an apocalyptic number.

4920681960 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 4920681960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8899450560).

4920681960 is an abundant number, since it is smaller than the sum of its proper divisors (12878219160).

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

4920681960 is a wasteful number, since it uses less digits than its factorization.

4920681960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 4920681960 is about 70147.5727306369. The cubic root of 4920681960 is about 1700.8855778132.

The spelling of 4920681960 in words is "four billion, nine hundred twenty million, six hundred eighty-one thousand, nine hundred sixty".