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5180846588376 = 23331101223309173
BaseRepresentation
bin100101101100100001010…
…0001010100000111011000
3200100021200002212200120220
41023121002201110013120
51134340333211312001
615004014214320040
71043206131254004
oct113310241240730
920307602780526
105180846588376
111718203920058
126b80bb059020
132b7723220c84
1413ca7bb97704
158eb74405c36
hex4b6428541d8

5180846588376 has 128 divisors (see below), whose sum is σ = 13562894499840. Its totient is φ = 1647268416000.

The previous prime is 5180846588371. The next prime is 5180846588377. The reversal of 5180846588376 is 6738856480815.

It is a self number, because there is not a number n which added to its sum of digits gives 5180846588376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5180846588371) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 16602526 + ... + 16911698.

It is an arithmetic number, because the mean of its divisors is an integer number (105960113280).

Almost surely, 25180846588376 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 5180846588376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6781447249920).

5180846588376 is an abundant number, since it is smaller than the sum of its proper divisors (8382047911464).

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

5180846588376 is a wasteful number, since it uses less digits than its factorization.

5180846588376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309537 (or 309533 counting only the distinct ones).

The product of its (nonzero) digits is 309657600, while the sum is 69.

The spelling of 5180846588376 in words is "five trillion, one hundred eighty billion, eight hundred forty-six million, five hundred eighty-eight thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 101 124 186 202 223 248 303 372 404 446 606 669 744 808 892 1212 1338 1784 2424 2676 3131 5352 6262 6913 9393 12524 13826 18786 20739 22523 25048 27652 37572 41478 45046 55304 67569 75144 82956 90092 135138 165912 180184 270276 309173 540552 618346 698213 927519 1236692 1396426 1855038 2094639 2473384 2792852 3710076 4189278 5585704 7420152 8378556 9584363 16757112 19168726 28753089 31226473 38337452 57506178 62452946 68945579 76674904 93679419 115012356 124905892 137891158 187358838 206836737 230024712 249811784 275782316 374717676 413673474 551564632 749435352 827346948 968020663 1654693896 1936041326 2137312949 2904061989 3872082652 4274625898 5808123978 6411938847 6963503479 7744165304 8549251796 11616247956 12823877694 13927006958 17098503592 20890510437 23232495912 25647755388 27854013916 41781020874 51295510776 55708027832 83562041748 167124083496 215868607849 431737215698 647605823547 863474431396 1295211647094 1726948862792 2590423294188 5180846588376