Search a number
-
+
163303427136 = 2631138119281
BaseRepresentation
bin1001100000010110100…
…1001000110001000000
3120121111220012122010010
42120011221020301000
510133421134132021
6203004235104520
714540545141053
oct2300551106100
9517456178103
10163303427136
1163290588933
1227795ba2140
131252677bb35
147c92542a9a
1543ab9ba976
hex2605a48c40

163303427136 has 112 divisors (see below), whose sum is σ = 436481817408. Its totient is φ = 53880422400.

The previous prime is 163303427129. The next prime is 163303427149. The reversal of 163303427136 is 631724303361.

It is a super-2 number, since 2×1633034271362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 163303427094 and 163303427103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17590816 + ... + 17600096.

It is an arithmetic number, because the mean of its divisors is an integer number (3897159084).

Almost surely, 2163303427136 is an apocalyptic number.

163303427136 is a gapful number since it is divisible by the number (16) 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 163303427136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218240908704).

163303427136 is an abundant number, since it is smaller than the sum of its proper divisors (273178390272).

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

163303427136 is a wasteful number, since it uses less digits than its factorization.

163303427136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10220 (or 10210 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 39.

The spelling of 163303427136 in words is "one hundred sixty-three billion, three hundred three million, four hundred twenty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 192 226 339 452 678 811 904 1356 1622 1808 2433 2712 3244 3616 4866 5424 6488 7232 9281 9732 10848 12976 18562 19464 21696 25952 27843 37124 38928 51904 55686 74248 77856 91643 111372 148496 155712 183286 222744 274929 296992 366572 445488 549858 593984 733144 890976 1048753 1099716 1466288 1781952 2097506 2199432 2932576 3146259 4195012 4398864 5865152 6292518 7526891 8390024 8797728 12585036 15053782 16780048 17595456 22580673 25170072 30107564 33560096 45161346 50340144 60215128 67120192 90322692 100680288 120430256 180645384 201360576 240860512 361290768 481721024 722581536 850538683 1445163072 1701077366 2551616049 3402154732 5103232098 6804309464 10206464196 13608618928 20412928392 27217237856 40825856784 54434475712 81651713568 163303427136