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2947051345408 = 29127409110813
BaseRepresentation
bin101010111000101001111…
…100101101011000000000
3101102201212002000221010221
4222320221330231120000
5341241030121023113
610133505014032424
7422626452055522
oct52705174553000
911381762027127
102947051345408
11a36923722905
123b71a9648714
13184ba0c15561
14a28d0b27a12
15519d609d98d
hex2ae29f2d600

2947051345408 has 80 divisors (see below), whose sum is σ = 5949275650560. Its totient is φ = 1458335563776.

The previous prime is 2947051345397. The next prime is 2947051345409. The reversal of 2947051345408 is 8045431507492.

It is a super-2 number, since 2×29470513454082 (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 (2947051345409) 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 7 ways as a sum of consecutive naturals, for example, 26539410 + ... + 26650222.

It is an arithmetic number, because the mean of its divisors is an integer number (74365945632).

Almost surely, 22947051345408 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 2947051345408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2974637825280).

2947051345408 is an abundant number, since it is smaller than the sum of its proper divisors (3002224305152).

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

2947051345408 is a wasteful number, since it uses less digits than its factorization.

2947051345408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111367 (or 111351 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 52.

The spelling of 2947051345408 in words is "two trillion, nine hundred forty-seven billion, fifty-one million, three hundred forty-five thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 64 127 128 254 256 409 508 512 818 1016 1636 2032 3272 4064 6544 8128 13088 16256 26176 32512 51943 52352 65024 103886 104704 110813 207772 209408 221626 415544 443252 831088 886504 1662176 1773008 3324352 3546016 6648704 7092032 13297408 14073251 14184064 26594816 28146502 28368128 45322517 56293004 56736256 90645034 112586008 181290068 225172016 362580136 450344032 725160272 900688064 1450320544 1801376128 2900641088 3602752256 5755959659 5801282176 7205504512 11511919318 11602564352 23023838636 23205128704 46047677272 92095354544 184190709088 368381418176 736762836352 1473525672704 2947051345408