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2978092142892 = 223321127872
BaseRepresentation
bin101011010101100100000…
…111111101000100101100
3101112200222100202211021000
4223111210013331010230
5342243113042033032
610200041110040300
7425105620354416
oct53254407750454
911480870684230
102978092142892
11a49002415449
12401211049090
13187aa9b00349
14a41d749d9b6
1552701266e7c
hex2b5641fd12c

2978092142892 has 108 divisors (see below), whose sum is σ = 7767615262680. Its totient is φ = 986737263120.

The previous prime is 2978092142833. The next prime is 2978092142917. The reversal of 2978092142892 is 2982412908792.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2978092142892 is a `hidden beast` number, since 29 + 7 + 80 + 9 + 21 + 428 + 92 = 666.

2978092142892 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×29780921428922 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3784106523 + ... + 3784107309.

Almost surely, 22978092142892 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 2978092142892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3883807631340).

2978092142892 is an abundant number, since it is smaller than the sum of its proper divisors (4789523119788).

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

2978092142892 is an frugal number, since it uses more digits than its factorization.

2978092142892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 2978092142892 in words is "two trillion, nine hundred seventy-eight billion, ninety-two million, one hundred forty-two thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 211 422 633 787 844 1266 1574 1899 2361 2532 3148 3798 4722 5697 7083 7596 9444 11394 14166 21249 22788 28332 42498 44521 84996 89042 133563 166057 178084 267126 332114 400689 498171 534252 619369 664228 801378 996342 1202067 1238738 1494513 1602756 1858107 1992684 2404134 2477476 2989026 3716214 4483539 4808268 5574321 5978052 7432428 8967078 11148642 16722963 17934156 22297284 33445926 35038027 66891852 70076054 105114081 130686859 140152108 210228162 261373718 315342243 392060577 420456324 522747436 630684486 784121154 946026729 1176181731 1261368972 1568242308 1892053458 2352363462 3528545193 3784106916 4704726924 7057090386 14114180772 27574927249 55149854498 82724781747 110299708996 165449563494 248174345241 330899126988 496348690482 744523035723 992697380964 1489046071446 2978092142892