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5154575794144 = 257172131635203
BaseRepresentation
bin100101100000010010010…
…1010001011111111100000
3200020202212020202001210221
41023000210222023333200
51133423032400403034
614543551320132424
71041256123222120
oct113004452137740
920222766661727
105154575794144
111708052724567
126b2ba9007114
132b50c763710a
1413b6a8b32c80
158e137db1bb4
hex4b024a8bfe0

5154575794144 has 96 divisors (see below), whose sum is σ = 12285800706816. Its totient is φ = 2078177679360.

The previous prime is 5154575794091. The next prime is 5154575794163. The reversal of 5154575794144 is 4414975754515.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7797247 + ... + 8432449.

It is an arithmetic number, because the mean of its divisors is an integer number (127977090696).

Almost surely, 25154575794144 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 5154575794144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6142900353408).

5154575794144 is an abundant number, since it is smaller than the sum of its proper divisors (7131224912672).

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

5154575794144 is a wasteful number, since it uses less digits than its factorization.

5154575794144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637368 (or 637360 counting only the distinct ones).

The product of its digits is 70560000, while the sum is 61.

The spelling of 5154575794144 in words is "five trillion, one hundred fifty-four billion, five hundred seventy-five million, seven hundred ninety-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 2131 3808 4262 8524 14917 17048 29834 34096 36227 59668 68192 72454 119336 144908 238672 253589 289816 477344 507178 579632 635203 1014356 1159264 1270406 2028712 2540812 4057424 4446421 5081624 8114848 8892842 10163248 10798451 17785684 20326496 21596902 35571368 43193804 71142736 75589157 86387608 142285472 151178314 172775216 302356628 345550432 604713256 1209426512 1353617593 2418853024 2707235186 5414470372 9475323151 10828940744 18950646302 21657881488 23011499081 37901292604 43315762976 46022998162 75802585208 92045996324 151605170416 161080493567 184091992648 303210340832 322160987134 368183985296 644321974268 736367970592 1288643948536 2577287897072 5154575794144