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2973095762442 = 2313217173399523
BaseRepresentation
bin101011010000111010010…
…100010001101000001010
3101112020002011012101210020
4223100322110101220022
5342202400003344232
610153453224201310
7424541041003521
oct53207224215012
911466064171706
102973095762442
11a4697905a903
12400257909236
1318749193b100
14a3c81aa14b8
155250c7c7e2c
hex2b43a511a0a

2973095762442 has 96 divisors (see below), whose sum is σ = 6821529421248. Its totient is φ = 860481543168.

The previous prime is 2973095762437. The next prime is 2973095762467. The reversal of 2973095762442 is 2442675903792.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29823693 + ... + 29923215.

It is an arithmetic number, because the mean of its divisors is an integer number (71057598138).

Almost surely, 22973095762442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2973095762442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3410764710624).

2973095762442 is an abundant number, since it is smaller than the sum of its proper divisors (3848433658806).

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

2973095762442 is a wasteful number, since it uses less digits than its factorization.

2973095762442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101304 (or 101291 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 60.

The spelling of 2973095762442 in words is "two trillion, nine hundred seventy-three billion, ninety-five million, seven hundred sixty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 169 221 338 442 507 663 1014 1326 1733 2873 3466 5199 5746 8619 10398 17238 22529 29461 45058 58922 67587 88383 99523 135174 176766 199046 292877 298569 382993 585754 597138 765986 878631 1148979 1293799 1691891 1757262 2297958 2587598 3383782 3881397 4978909 5075673 7762794 9957818 10151346 14936727 16819387 21994583 29873454 33638774 43989166 50458161 65983749 100916322 131967498 172473359 285929579 344946718 517420077 571859158 857788737 1034840154 1715577474 2242153667 2932047103 4484307334 5864094206 6726461001 8796141309 13452922002 17592282618 29147997671 38116612339 58295995342 76233224678 87443993013 114349837017 174887986026 228699674034 495515960407 991031920814 1486547881221 2973095762442