Search a number
-
+
54366352413432 = 233191914259146563
BaseRepresentation
bin11000101110010001001110…
…00111111001001011111000
321010111101001120112211120220
430113020213013321023320
524111214242204212212
6311343320231020040
714310560615521233
oct1427104707711370
9233441046484526
1054366352413432
1116360705678274
12612069150a620
132444956b92ab7
14d5d4ba08641a
156442d857838c
hex3172271f92f8

54366352413432 has 128 divisors (see below), whose sum is σ = 143853152256000. Its totient is φ = 17074308850560.

The previous prime is 54366352413427. The next prime is 54366352413481. The reversal of 54366352413432 is 23431425366345.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 370868583 + ... + 371015145.

It is an arithmetic number, because the mean of its divisors is an integer number (1123852752000).

Almost surely, 254366352413432 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 54366352413432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71926576128000).

54366352413432 is an abundant number, since it is smaller than the sum of its proper divisors (89486799842568).

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

54366352413432 is a wasteful number, since it uses less digits than its factorization.

54366352413432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151041 (or 151037 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 51.

Adding to 54366352413432 its reverse (23431425366345), we get a palindrome (77797777779777).

The spelling of 54366352413432 in words is "fifty-four trillion, three hundred sixty-six billion, three hundred fifty-two million, four hundred thirteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 191 228 382 456 573 764 1146 1528 2292 3629 4259 4584 7258 8518 10887 12777 14516 17036 21774 25554 29032 34072 43548 51108 80921 87096 102216 146563 161842 242763 293126 323684 439689 485526 586252 647368 813469 879378 971052 1172504 1626938 1758756 1942104 2440407 2784697 3253876 3517512 4880814 5569394 6507752 8354091 9761628 11138788 15455911 16708182 19523256 22277576 27993533 30911822 33416364 46367733 55987066 61823644 66832728 83980599 92735466 111974132 123647288 167961198 185470932 223948264 335922396 370941864 531877127 624211817 671844792 1063754254 1248423634 1595631381 1872635451 2127508508 2496847268 3191262762 3745270902 4255017016 4993694536 6382525524 7490541804 11860024523 12765051048 14981083608 23720049046 35580073569 47440098092 71160147138 94880196184 119224457047 142320294276 238448914094 284640588552 357673371141 476897828188 715346742282 953795656376 1430693484564 2265264683893 2861386969128 4530529367786 6795794051679 9061058735572 13591588103358 18122117471144 27183176206716 54366352413432