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2980266624 = 27323178161
BaseRepresentation
bin1011000110100011…
…0100001010000000
321200200220020020100
42301220310022000
522100422012444
61211421242400
7133565563656
oct26150641200
97620806210
102980266624
11129a312475
126b2103400
1338659559a
14203b4add6
15126996e69
hexb1a34280

2980266624 has 96 divisors (see below), whose sum is σ = 8604135540. Its totient is φ = 990167040.

The previous prime is 2980266599. The next prime is 2980266631. The reversal of 2980266624 is 4266620892.

It can be written as a sum of positive squares in 2 ways, for example, as 2650190400 + 330076224 = 51480^2 + 18168^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2980266624.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 361104 + ... + 369264.

Almost surely, 22980266624 is an apocalyptic number.

2980266624 is a gapful number since it is divisible by the number (24) 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 2980266624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4302067770).

2980266624 is an abundant number, since it is smaller than the sum of its proper divisors (5623868916).

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

2980266624 is a wasteful number, since it uses less digits than its factorization.

2980266624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8498 (or 8483 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 2980266624 is about 54591.8182880915. The cubic root of 2980266624 is about 1439.0803387059.

The spelling of 2980266624 in words is "two billion, nine hundred eighty million, two hundred sixty-six thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 317 384 576 634 951 1152 1268 1902 2536 2853 3804 5072 5706 7608 8161 10144 11412 15216 16322 20288 22824 24483 30432 32644 40576 45648 48966 60864 65288 73449 91296 97932 121728 130576 146898 182592 195864 261152 293796 365184 391728 522304 587592 783456 1044608 1175184 1566912 2350368 2587037 3133824 4700736 5174074 7761111 9401472 10348148 15522222 20696296 23283333 31044444 41392592 46566666 62088888 82785184 93133332 124177776 165570368 186266664 248355552 331140736 372533328 496711104 745066656 993422208 1490133312 2980266624