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54047111076 = 223271731406969
BaseRepresentation
bin110010010101011101…
…010111011110100100
312011111122011201022200
4302111131113132210
51341142030023301
640455013054500
73622223602260
oct622535273644
9164448151280
1054047111076
1120a15204552
12a584327430
1351343778ca
14288a0290a0
151614d23c86
hexc957577a4

54047111076 has 144 divisors (see below), whose sum is σ = 170653916160. Its totient is φ = 14064814080.

The previous prime is 54047111071. The next prime is 54047111101. The reversal of 54047111076 is 67011174045.

54047111076 is a `hidden beast` number, since 5 + 4 + 0 + 471 + 110 + 76 = 666.

It is a super-2 number, since 2×540471110762 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 54047111076.

It is not an unprimeable number, because it can be changed into a prime (54047111071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70681 + ... + 336288.

It is an arithmetic number, because the mean of its divisors is an integer number (1185096640).

Almost surely, 254047111076 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 54047111076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85326958080).

54047111076 is an abundant number, since it is smaller than the sum of its proper divisors (116606805084).

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

54047111076 is a wasteful number, since it uses less digits than its factorization.

54047111076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407034 (or 407029 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 54047111076 in words is "fifty-four billion, forty-seven million, one hundred eleven thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 31 34 36 42 51 62 63 68 84 93 102 119 124 126 153 186 204 217 238 252 279 306 357 372 434 476 527 558 612 651 714 868 1054 1071 1116 1302 1428 1581 1953 2108 2142 2604 3162 3689 3906 4284 4743 6324 7378 7812 9486 11067 14756 18972 22134 33201 44268 66402 132804 406969 813938 1220907 1627876 2441814 2848783 3662721 4883628 5697566 6918473 7325442 8546349 11395132 12616039 13836946 14650884 17092698 20755419 25232078 25639047 27673892 34185396 37848117 41510838 48429311 50464156 51278094 62266257 75696234 83021676 88312273 96858622 102556188 113544351 124532514 145287933 151392468 176624546 193717244 214472663 227088702 249065028 264936819 290575866 353249092 428945326 435863799 454177404 529873638 581151732 643417989 794810457 857890652 871727598 1059747276 1286835978 1501308641 1589620914 1743455196 1930253967 2573671956 3002617282 3179241828 3860507934 4503925923 6005234564 7721015868 9007851846 13511777769 18015703692 27023555538 54047111076