Search a number
-
+
53340381576 = 23331959220291
BaseRepresentation
bin110001101011010101…
…011010000110001000
312002200101100010201000
4301223111122012020
51333220114202301
640300525255000
73565552522356
oct615325320610
9162611303630
1053340381576
1120692289189
12a407704460
135050b20481
14282021c7d6
1515c2c72786
hexc6b55a188

53340381576 has 128 divisors (see below), whose sum is σ = 158610240000. Its totient is φ = 16558758720.

The previous prime is 53340381553. The next prime is 53340381581. The reversal of 53340381576 is 67518304335.

53340381576 is a `hidden beast` number, since 5 + 3 + 3 + 40 + 38 + 1 + 576 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 131991 + ... + 352281.

It is an arithmetic number, because the mean of its divisors is an integer number (1239142500).

Almost surely, 253340381576 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 53340381576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79305120000).

53340381576 is an abundant number, since it is smaller than the sum of its proper divisors (105269858424).

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

53340381576 is a wasteful number, since it uses less digits than its factorization.

53340381576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220384 (or 220374 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 53340381576 in words is "fifty-three billion, three hundred forty million, three hundred eighty-one thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 59 72 76 108 114 118 152 171 177 216 228 236 342 354 456 472 513 531 684 708 1026 1062 1121 1368 1416 1593 2052 2124 2242 3186 3363 4104 4248 4484 6372 6726 8968 10089 12744 13452 20178 26904 30267 40356 60534 80712 121068 220291 242136 440582 660873 881164 1321746 1762328 1982619 2643492 3965238 4185529 5286984 5947857 7930476 8371058 11895714 12556587 12997169 15860952 16742116 23791428 25113174 25994338 33484232 37669761 38991507 47582856 50226348 51988676 75339522 77983014 100452696 103977352 113009283 116974521 150679044 155966028 226018566 233949042 246946211 301358088 311932056 350923563 452037132 467898084 493892422 701847126 740838633 904074264 935796168 987784844 1403694252 1481677266 1975569688 2222515899 2807388504 2963354532 4445031798 5926709064 6667547697 8890063596 13335095394 17780127192 26670190788 53340381576