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2741162660856 = 2332173677325063
BaseRepresentation
bin100111111000111010000…
…001101101001111111000
3100201001102100011002001200
4213320322001231033320
5324402400120121411
65455134525014200
7402020365114134
oct47707201551770
910631370132050
102741162660856
1196757a950864
123833099b4360
1316b64b903669
149695c9323c4
154b485b7de56
hex27e3a06d3f8

2741162660856 has 96 divisors (see below), whose sum is σ = 7477947790560. Its totient is φ = 907094612736.

The previous prime is 2741162660839. The next prime is 2741162660857. The reversal of 2741162660856 is 6580662611472.

2741162660856 is a `hidden beast` number, since 2 + 7 + 4 + 1 + 1 + 6 + 26 + 608 + 5 + 6 = 666.

It is a super-2 number, since 2×27411626608562 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2741162660857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8270181 + ... + 8595243.

It is an arithmetic number, because the mean of its divisors is an integer number (77895289485).

Almost surely, 22741162660856 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 2741162660856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3738973895280).

2741162660856 is an abundant number, since it is smaller than the sum of its proper divisors (4736785129704).

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

2741162660856 is a wasteful number, since it uses less digits than its factorization.

2741162660856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325925 (or 325918 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 2741162660856 in words is "two trillion, seven hundred forty-one billion, one hundred sixty-two million, six hundred sixty thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 173 346 519 677 692 1038 1354 1384 1557 2031 2076 2708 3114 4062 4152 5416 6093 6228 8124 12186 12456 16248 24372 48744 117121 234242 325063 351363 468484 650126 702726 936968 975189 1054089 1300252 1405452 1950378 2108178 2600504 2810904 2925567 3900756 4216356 5851134 7801512 8432712 11702268 23404536 56235899 112471798 168707697 220067651 224943596 337415394 440135302 449887192 506123091 660202953 674830788 880270604 1012246182 1320405906 1349661576 1760541208 1980608859 2024492364 2640811812 3961217718 4048984728 5281623624 7922435436 15844870872 38071703623 76143407246 114215110869 152286814492 228430221738 304573628984 342645332607 456860443476 685290665214 913720886952 1370581330428 2741162660856