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2990998816 = 251343271617
BaseRepresentation
bin1011001001000111…
…0000010100100000
321201110002111000221
42302101300110200
522111143430231
61212443252424
7134056033111
oct26221602440
97643074027
102990998816
1112a5382753
126b581a114
133888824b0
14205342208
151278b6d11
hexb2470520

2990998816 has 96 divisors (see below), whose sum is σ = 6523469568. Its totient is φ = 1341204480.

The previous prime is 2990998811. The next prime is 2990998837. The reversal of 2990998816 is 6188990992.

It is not an unprimeable number, because it can be changed into a prime (2990998811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4847340 + ... + 4847956.

It is an arithmetic number, because the mean of its divisors is an integer number (67952808).

Almost surely, 22990998816 is an apocalyptic number.

2990998816 is a gapful number since it is divisible by the number (26) 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 2990998816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261734784).

2990998816 is an abundant number, since it is smaller than the sum of its proper divisors (3532470752).

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

2990998816 is a wasteful number, since it uses less digits than its factorization.

2990998816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 61.

The square root of 2990998816 is about 54690.0248308592. The cubic root of 2990998816 is about 1440.8056859626.

The spelling of 2990998816 in words is "two billion, nine hundred ninety million, nine hundred ninety-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 43 52 86 104 172 208 271 344 416 542 559 617 688 1084 1118 1234 1376 2168 2236 2468 3523 4336 4472 4936 7046 8021 8672 8944 9872 11653 14092 16042 17888 19744 23306 26531 28184 32084 46612 53062 56368 64168 93224 106124 112736 128336 151489 167207 186448 212248 256672 302978 334414 344903 372896 424496 605956 668828 689806 848992 1211912 1337656 1379612 2173691 2423824 2675312 2759224 4347382 4847648 5350624 5518448 7189901 8694764 11036896 14379802 17389528 28759604 34779056 57519208 69558112 93468713 115038416 186937426 230076832 373874852 747749704 1495499408 2990998816