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2797742477972 = 2213535098632311
BaseRepresentation
bin101000101101100110011…
…100100101001010010100
3100220110110111001120220202
4220231212130211022110
5331314234033243342
65541133134520032
7406062444454151
oct50554634451224
910813414046822
102797742477972
119895747678a2
1239227a366018
13173a978bc2a0
14995a9083228
154cb97ede332
hex28b66725294

2797742477972 has 96 divisors (see below), whose sum is σ = 5391276226560. Its totient is φ = 1262401620480.

The previous prime is 2797742477953. The next prime is 2797742477977.

2797742477972 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×27977424779724 (a number of 51 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2797742477972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2797742477977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1210618697 + ... + 1210621007.

It is an arithmetic number, because the mean of its divisors is an integer number (56159127360).

Almost surely, 22797742477972 is an apocalyptic number.

It is an amenable number.

2797742477972 is a deficient number, since it is larger than the sum of its proper divisors (2593533748588).

2797742477972 is a wasteful number, since it uses less digits than its factorization.

2797742477972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3753 (or 3751 counting only the distinct ones).

The product of its digits is 1219784832, while the sum is 74.

The spelling of 2797742477972 in words is "two trillion, seven hundred ninety-seven billion, seven hundred forty-two million, four hundred seventy-seven thousand, nine hundred seventy-two".

Divisors: 1 2 4 13 26 52 53 106 212 509 689 863 1018 1378 1726 2036 2311 2756 3452 4622 6617 9244 11219 13234 22438 26468 26977 30043 44876 45739 53954 60086 91478 107908 120172 122483 182956 244966 350701 439267 489932 594607 701402 878534 1176299 1189214 1402804 1592279 1757068 1994393 2352598 2378428 3184558 3988786 4705196 5710471 6369116 7977572 11420942 15291887 22841884 23281151 25927109 30583774 46562302 51854218 61167548 62343847 93124604 103708436 105702829 124687694 211405658 249375388 302654963 422811316 605309926 810470011 1015146037 1210619852 1374136777 1620940022 2030292074 2748273554 3241880044 4060584148 5496547108 13196898481 26393796962 52787593924 53802739961 107605479922 215210959844 699435619493 1398871238986 2797742477972