Search a number
-
+
278055053031 = 3725989360223
BaseRepresentation
bin1000000101111010101…
…11110110011011100111
3222120201010122012211110
410002331113312123213
514023424043144111
6331423044440103
726042314645200
oct4027527663347
9876633565743
10278055053031
11a7a16912898
1245a800a9033
13202b3513ca2
14d65a8125a7
157375d075a6
hex40bd5f66e7

278055053031 has 48 divisors (see below), whose sum is σ = 443507788800. Its totient is φ = 154440139392.

The previous prime is 278055052997. The next prime is 278055053093. The reversal of 278055053031 is 130350550872.

It is not a de Polignac number, because 278055053031 - 27 = 278055052903 is a prime.

It is a super-2 number, since 2×2780550530312 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (278055053231) 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 47 ways as a sum of consecutive naturals, for example, 591786 + ... + 952008.

It is an arithmetic number, because the mean of its divisors is an integer number (9239745600).

Almost surely, 2278055053031 is an apocalyptic number.

278055053031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

278055053031 is a deficient number, since it is larger than the sum of its proper divisors (165452735769).

278055053031 is a wasteful number, since it uses less digits than its factorization.

278055053031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360388 (or 360381 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The spelling of 278055053031 in words is "two hundred seventy-eight billion, fifty-five million, fifty-three thousand, thirty-one".

Divisors: 1 3 7 21 49 59 89 147 177 267 413 623 1239 1869 2891 4361 5251 8673 13083 15753 36757 110271 257299 360223 771897 1080669 2521561 7564683 17650927 21253157 32059847 52952781 63759471 96179541 148772099 224418929 446316297 673256787 1041404693 1570932503 1891530973 3124214079 4712797509 5674592919 13240716811 39722150433 92685017677 278055053031