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2958920016 = 243134741859
BaseRepresentation
bin1011000001011101…
…1000100101010000
321122012201201012020
42300113120211100
522024440420031
61205335531440
7133216255653
oct26027304520
97565651166
102958920016
111289262448
126a6b29b80
13382030260
14200d9189a
15124b7c096
hexb05d8950

2958920016 has 40 divisors (see below), whose sum is σ = 8231868960. Its totient is φ = 910436736.

The previous prime is 2958919981. The next prime is 2958920089. The reversal of 2958920016 is 6100298592.

It is a super-2 number, since 2×29589200162 = 17510415322170880512, 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 2958920016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2370306 + ... + 2371553.

It is an arithmetic number, because the mean of its divisors is an integer number (205796724).

Almost surely, 22958920016 is an apocalyptic number.

2958920016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2958920016 is an abundant number, since it is smaller than the sum of its proper divisors (5272948944).

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

2958920016 is a wasteful number, since it uses less digits than its factorization.

2958920016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4741883 (or 4741877 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 2958920016 is about 54395.9558790909. The cubic root of 2958920016 is about 1435.6362261124.

The spelling of 2958920016 in words is "two billion, nine hundred fifty-eight million, nine hundred twenty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 4741859 9483718 14225577 18967436 28451154 37934872 56902308 61644167 75869744 113804616 123288334 184932501 227609232 246576668 369865002 493153336 739730004 986306672 1479460008 2958920016