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55204230514144 = 25371012111218681
BaseRepresentation
bin11001000110101001111001…
…00011001100010111100000
321020110110202202000110110111
430203110330203030113200
524213431231002423034
6313224250130341104
714425242203050615
oct1443247443142740
9236413682013414
1055204230514144
1116653a89a54728
126236b4912a794
1324a59764070ca
14d8bc82c6c50c
1565aec6e11364
hex32353c8cc5e0

55204230514144 has 96 divisors (see below), whose sum is σ = 112779786696192. Its totient is φ = 26577492480000.

The previous prime is 55204230514129. The next prime is 55204230514163. The reversal of 55204230514144 is 44141503240255.

It is a junction number, because it is equal to n+sod(n) for n = 55204230514097 and 55204230514106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252332484 + ... + 252551164.

It is an arithmetic number, because the mean of its divisors is an integer number (1174789444752).

Almost surely, 255204230514144 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 55204230514144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56389893348096).

55204230514144 is an abundant number, since it is smaller than the sum of its proper divisors (57575556182048).

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

55204230514144 is a wasteful number, since it uses less digits than its factorization.

55204230514144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220940 (or 220932 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

Adding to 55204230514144 its reverse (44141503240255), we get a palindrome (99345733754399).

The spelling of 55204230514144 in words is "fifty-five trillion, two hundred four billion, two hundred thirty million, five hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 37 74 101 148 202 296 404 592 808 1184 1616 2111 3232 3737 4222 7474 8444 14948 16888 29896 33776 59792 67552 78107 119584 156214 213211 218681 312428 426422 437362 624856 852844 874724 1249712 1705688 1749448 2499424 3411376 3498896 6822752 6997792 7888807 8091197 15777614 16182394 22086781 31555228 32364788 44173562 63110456 64729576 88347124 126220912 129459152 176694248 252441824 258918304 353388496 461635591 706776992 817210897 923271182 1634421794 1846542364 3268843588 3693084728 6537687176 7386169456 13075374352 14772338912 17080516867 26150748704 34161033734 46625194691 68322067468 93250389382 136644134936 186500778764 273288269872 373001557528 546576539744 746003115056 1492006230112 1725132203567 3450264407134 6900528814268 13801057628536 27602115257072 55204230514144