Search a number
-
+
169416491360 = 25519221113901
BaseRepresentation
bin1001110111001000000…
…0101000000101100000
3121012021221000110202012
42131302000220011200
510233431110210420
6205455011212052
715145204262534
oct2356200500540
9535257013665
10169416491360
1165938213526
1228a012a7028
1312c8c0b38bc
1482b2383bc4
1546184d8dc5
hex2772028160

169416491360 has 144 divisors (see below), whose sum is σ = 424453306032. Its totient is φ = 63891072000.

The previous prime is 169416491359. The next prime is 169416491393. The reversal of 169416491360 is 63194614961.

169416491360 is digitally balanced in base 3, 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 = 169416491299 and 169416491308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12180410 + ... + 12194310.

It is an arithmetic number, because the mean of its divisors is an integer number (2947592403).

Almost surely, 2169416491360 is an apocalyptic number.

169416491360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 169416491360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212226653016).

169416491360 is an abundant number, since it is smaller than the sum of its proper divisors (255036814672).

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

169416491360 is a wasteful number, since it uses less digits than its factorization.

169416491360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14165 (or 14138 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 50.

The spelling of 169416491360 in words is "one hundred sixty-nine billion, four hundred sixteen million, four hundred ninety-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 211 304 361 380 422 608 722 760 844 1055 1444 1520 1688 1805 2110 2888 3040 3376 3610 4009 4220 5776 6752 7220 8018 8440 11552 13901 14440 16036 16880 20045 27802 28880 32072 33760 40090 55604 57760 64144 69505 76171 80180 111208 128288 139010 152342 160360 222416 264119 278020 304684 320720 380855 444832 528238 556040 609368 641440 761710 1056476 1112080 1218736 1320595 1523420 2112952 2224160 2437472 2641190 2933111 3046840 4225904 5018261 5282380 5866222 6093680 8451808 10036522 10564760 11732444 12187360 14665555 20073044 21129520 23464888 25091305 29331110 40146088 42259040 46929776 50182610 55729109 58662220 80292176 93859552 100365220 111458218 117324440 160584352 200730440 222916436 234648880 278645545 401460880 445832872 469297760 557291090 802921760 891665744 1058853071 1114582180 1783331488 2117706142 2229164360 4235412284 4458328720 5294265355 8470824568 8916657440 10588530710 16941649136 21177061420 33883298272 42354122840 84708245680 169416491360