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4120899464 = 2311476311579
BaseRepresentation
bin1111010110011111…
…1110111110001000
3101122012012101100002
43311213332332020
531414422240324
61520525102132
7204056032103
oct36547767610
911565171302
104120899464
11182515a840
129700b7948
135089a1b66
142b142573a
15191ba73ae
hexf59fef88

4120899464 has 64 divisors (see below), whose sum is σ = 8627558400. Its totient is φ = 1829217600.

The previous prime is 4120899437. The next prime is 4120899487. The reversal of 4120899464 is 4649980214.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2609027 + ... + 2610605.

It is an arithmetic number, because the mean of its divisors is an integer number (134805600).

Almost surely, 24120899464 is an apocalyptic number.

4120899464 is a gapful number since it is divisible by the number (44) 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 4120899464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4313779200).

4120899464 is an abundant number, since it is smaller than the sum of its proper divisors (4506658936).

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

4120899464 is a wasteful number, since it uses less digits than its factorization.

4120899464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 47.

The square root of 4120899464 is about 64194.2323265883. The cubic root of 4120899464 is about 1603.2355702261.

The spelling of 4120899464 in words is "four billion, one hundred twenty million, eight hundred ninety-nine thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 47 88 94 188 376 517 631 1034 1262 1579 2068 2524 3158 4136 5048 6316 6941 12632 13882 17369 27764 29657 34738 55528 59314 69476 74213 118628 138952 148426 237256 296852 326227 593704 652454 816343 996349 1304908 1632686 1992698 2609816 3265372 3985396 6530744 7970792 10959839 21919678 43839356 46828403 87678712 93656806 187313612 374627224 515112433 1030224866 2060449732 4120899464