Search a number
-
+
52551630341408 = 25111711087792101
BaseRepresentation
bin10111111001011101000010…
…10000100100010100100000
320220001212221110210220221102
423330232201100210110200
523342001214331411113
6303433515151013532
714032505250441332
oct1374564120442440
9226055843726842
1052551630341408
1115821026345010
125a88a3680a2a8
13234279c872093
14cd972635d452
15611ec6309758
hex2fcba1424520

52551630341408 has 96 divisors (see below), whose sum is σ = 119516709489408. Its totient is φ = 22479924736000.

The previous prime is 52551630341401. The next prime is 52551630341443. The reversal of 52551630341408 is 80414303615525.

It is not an unprimeable number, because it can be changed into a prime (52551630341401) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 65948558 + ... + 66740658.

It is an arithmetic number, because the mean of its divisors is an integer number (1244965723848).

Almost surely, 252551630341408 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 52551630341408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59758354744704).

52551630341408 is an abundant number, since it is smaller than the sum of its proper divisors (66965079148000).

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

52551630341408 is a wasteful number, since it uses less digits than its factorization.

52551630341408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803226 (or 803218 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 47.

The spelling of 52551630341408 in words is "fifty-two trillion, five hundred fifty-one billion, six hundred thirty million, three hundred forty-one thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1496 2992 5984 11087 22174 44348 88696 121957 177392 188479 243914 354784 376958 487828 753916 792101 975656 1507832 1584202 1951312 2073269 3015664 3168404 3902624 4146538 6031328 6336808 8293076 8713111 12673616 13465717 16586152 17426222 25347232 26931434 33172304 34852444 53862868 66344608 69704888 107725736 139409776 148122887 215451472 278819552 296245774 430902944 592491548 1184983096 2369966192 4739932384 8782023787 17564047574 35128095148 70256190296 96602261657 140512380592 149294404379 193204523314 281024761184 298588808758 386409046628 597177617516 772818093256 1194355235032 1545636186512 1642238448169 2388710470064 3091272373024 3284476896338 4777420940128 6568953792676 13137907585352 26275815170704 52551630341408