Search a number
-
+
51623465341660 = 22529432518246639
BaseRepresentation
bin10111011110011100001100…
…10100000101001011011100
320202210011012001121121110021
423233032012110011023130
523231244324111413120
6301443254221521524
713605446411222032
oct1357160624051334
9222704161547407
1051623465341660
11154a3430401023
125958b821132a4
1322a60c1c46b64
14ca6836516552
155e7ca1322aaa
hex2ef3865052dc

51623465341660 has 96 divisors (see below), whose sum is σ = 115212817843200. Its totient is φ = 19396092576000.

The previous prime is 51623465341621. The next prime is 51623465341681. The reversal of 51623465341660 is 6614356432615.

51623465341660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 51623465341598 and 51623465341607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2136621 + ... + 10383259.

It is an arithmetic number, because the mean of its divisors is an integer number (1200133519200).

Almost surely, 251623465341660 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 51623465341660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57606408921600).

51623465341660 is an abundant number, since it is smaller than the sum of its proper divisors (63589352501540).

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

51623465341660 is a wasteful number, since it uses less digits than its factorization.

51623465341660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8246971 (or 8246969 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 52.

The spelling of 51623465341660 in words is "fifty-one trillion, six hundred twenty-three billion, four hundred sixty-five million, three hundred forty-one thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 29 43 58 86 116 145 172 215 251 290 430 502 580 860 1004 1247 1255 2494 2510 4988 5020 6235 7279 10793 12470 14558 21586 24940 29116 36395 43172 53965 72790 107930 145580 215860 312997 625994 1251988 1564985 3129970 6259940 8246639 16493278 32986556 41233195 82466390 164932780 239152531 354605477 478305062 709210954 956610124 1195762655 1418421908 1773027385 2069906389 2391525310 3546054770 4139812778 4783050620 7092109540 8279625556 10283558833 10349531945 20567117666 20699063890 41134235332 41398127780 51417794165 60027285281 89005974727 102835588330 120054570562 178011949454 205671176660 240109141124 300136426405 356023898908 445029873635 600272852810 890059747270 1200545705620 1780119494540 2581173267083 5162346534166 10324693068332 12905866335415 25811732670830 51623465341660