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2797149312 = 27324356467
BaseRepresentation
bin1010011010111001…
…0001110010000000
321012221022220111200
42212232101302000
521212032234222
61141320341200
7126213243156
oct24656216200
97187286450
102797149312
111205a10751
12660914800
1335766c849
141c76c13d6
15115874eac
hexa6b91c80

2797149312 has 96 divisors (see below), whose sum is σ = 8236422480. Its totient is φ = 910683648.

The previous prime is 2797149233. The next prime is 2797149317. The reversal of 2797149312 is 2139417972.

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

It is not an unprimeable number, because it can be changed into a prime (2797149317) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 21303 + ... + 77769.

Almost surely, 22797149312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2797149312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4118211240).

2797149312 is an abundant number, since it is smaller than the sum of its proper divisors (5439273168).

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

2797149312 is a wasteful number, since it uses less digits than its factorization.

2797149312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56530 (or 56515 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 2797149312 is about 52888.0828920845. The cubic root of 2797149312 is about 1408.9812589948.

The spelling of 2797149312 in words is "two billion, seven hundred ninety-seven million, one hundred forty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 258 288 344 384 387 516 576 688 774 1032 1152 1376 1548 2064 2752 3096 4128 5504 6192 8256 12384 16512 24768 49536 56467 112934 169401 225868 338802 451736 508203 677604 903472 1016406 1355208 1806944 2032812 2428081 2710416 3613888 4065624 4856162 5420832 7227776 7284243 8131248 9712324 10841664 14568486 16262496 19424648 21683328 21852729 29136972 32524992 38849296 43705458 58273944 65049984 77698592 87410916 116547888 155397184 174821832 233095776 310794368 349643664 466191552 699287328 932383104 1398574656 2797149312