Search a number
-
+
53345131320 = 23351346174177
BaseRepresentation
bin110001101011100111…
…100001101100111000
312002200201021110010110
4301223213201230320
51333222323200240
640301215144320
73565641064125
oct615347415470
9162621243113
1053345131320
1120694a32798
12a4092150a0
135051ac4380
142820ad774c
1515c33aec80
hexc6b9e1b38

53345131320 has 128 divisors (see below), whose sum is σ = 172721989440. Its totient is φ = 13102448640.

The previous prime is 53345131277. The next prime is 53345131331. The reversal of 53345131320 is 2313154335.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 682072 + ... + 756248.

Almost surely, 253345131320 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 53345131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86360994720).

53345131320 is an abundant number, since it is smaller than the sum of its proper divisors (119376858120).

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

53345131320 is a wasteful number, since it uses less digits than its factorization.

53345131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74665 (or 74661 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

Adding to 53345131320 its reverse (2313154335), we get a palindrome (55658285655).

The spelling of 53345131320 in words is "fifty-three billion, three hundred forty-five million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 461 520 780 922 1383 1560 1844 2305 2766 3688 4610 5532 5993 6915 9220 11064 11986 13830 17979 18440 23972 27660 29965 35958 47944 55320 59930 71916 74177 89895 119860 143832 148354 179790 222531 239720 296708 359580 370885 445062 593416 719160 741770 890124 964301 1112655 1483540 1780248 1928602 2225310 2892903 2967080 3857204 4450620 4821505 5785806 7714408 8901240 9643010 11571612 14464515 19286020 23143224 28929030 34195597 38572040 57858060 68391194 102586791 115716120 136782388 170977985 205173582 273564776 341955970 410347164 444542761 512933955 683911940 820694328 889085522 1025867910 1333628283 1367823880 1778171044 2051735820 2222713805 2667256566 3556342088 4103471640 4445427610 5334513132 6668141415 8890855220 10669026264 13336282830 17781710440 26672565660 53345131320