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2978201234953 = 737359152321031
BaseRepresentation
bin101011010101101010101…
…000000110111000001001
3101112201020222001021102201
4223111222220012320021
5342243324004004303
610200100004200201
7425111413545160
oct53255250067011
911481228037381
102978201234953
11a49058a5697a
12401241699061
13187ac65a8369
14a4207b7a3d7
155270ab1581d
hex2b56aa06e09

2978201234953 has 32 divisors (see below), whose sum is σ = 3507854929920. Its totient is φ = 2475088332480.

The previous prime is 2978201234927. The next prime is 2978201234959. The reversal of 2978201234953 is 3594321028792.

2978201234953 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 2978201234953 - 233 = 2969611300361 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2978201234894 and 2978201234903.

It is not an unprimeable number, because it can be changed into a prime (2978201234959) 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, 141599548 + ... + 141620578.

It is an arithmetic number, because the mean of its divisors is an integer number (109620466560).

Almost surely, 22978201234953 is an apocalyptic number.

It is an amenable number.

2978201234953 is a deficient number, since it is larger than the sum of its proper divisors (529653694967).

2978201234953 is a wasteful number, since it uses less digits than its factorization.

2978201234953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22957.

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 2978201234953 in words is "two trillion, nine hundred seventy-eight billion, two hundred one million, two hundred thirty-four thousand, nine hundred fifty-three".

Divisors: 1 7 37 259 359 1523 2513 10661 13283 21031 56351 92981 147217 394457 546757 778147 3827299 5447029 7550129 20230009 32030213 52850903 141610063 224211491 279354773 1185117881 1955483411 8295825167 11498846467 80491925269 425457319279 2978201234953