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54946722246 = 23132389139301
BaseRepresentation
bin110011001011000101…
…000111000111000110
312020211022221200211220
4303023011013013012
51400012330102441
641124150541210
73653426301333
oct631305070706
9166738850756
1054946722246
1121336aa0759
12a795667806
135248866300
1429336c398a
151668cc5466
hexccb1471c6

54946722246 has 48 divisors (see below), whose sum is σ = 119303804880. Its totient is φ = 16863100800.

The previous prime is 54946722223. The next prime is 54946722251. The reversal of 54946722246 is 64222764945.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 324796 + ... + 464096.

It is an arithmetic number, because the mean of its divisors is an integer number (2485495935).

Almost surely, 254946722246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54946722246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59651902440).

54946722246 is an abundant number, since it is smaller than the sum of its proper divisors (64357082634).

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

54946722246 is a wasteful number, since it uses less digits than its factorization.

54946722246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139721 (or 139708 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 51.

The spelling of 54946722246 in words is "fifty-four billion, nine hundred forty-six million, seven hundred twenty-two thousand, two hundred forty-six".

Divisors: 1 2 3 6 13 26 39 78 169 338 389 507 778 1014 1167 2334 5057 10114 15171 30342 65741 131482 139301 197223 278602 394446 417903 835806 1810913 3621826 5432739 10865478 23541869 47083738 54188089 70625607 108376178 141251214 162564267 325128534 704445157 1408890314 2113335471 4226670942 9157787041 18315574082 27473361123 54946722246