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163583050344 = 23375320878803
BaseRepresentation
bin1001100001011001001…
…1110100001001101000
3120122020101100222001020
42120112103310021220
510140004230102334
6203052104252440
714550511662060
oct2302623641150
9518211328036
10163583050344
116341440499a
1227853771120
131256c693b5c
147cbb7303a0
1543c6301e49
hex26164f4268

163583050344 has 128 divisors (see below), whose sum is σ = 476480931840. Its totient is φ = 45828986112.

The previous prime is 163583050271. The next prime is 163583050363. The reversal of 163583050344 is 443050385361.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 163583050296 and 163583050305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18578247 + ... + 18587049.

It is an arithmetic number, because the mean of its divisors is an integer number (3722507280).

Almost surely, 2163583050344 is an apocalyptic number.

163583050344 is a gapful number since it is divisible by the number (14) 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 163583050344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238240465920).

163583050344 is an abundant number, since it is smaller than the sum of its proper divisors (312897881496).

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

163583050344 is a wasteful number, since it uses less digits than its factorization.

163583050344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10959 (or 10955 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 163583050344 in words is "one hundred sixty-three billion, five hundred eighty-three million, fifty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 159 168 212 318 371 424 636 742 1113 1272 1484 2087 2226 2968 4174 4452 6261 8348 8803 8904 12522 14609 16696 17606 25044 26409 29218 35212 43827 50088 52818 58436 61621 70424 87654 105636 110611 116872 123242 175308 184863 211272 221222 246484 331833 350616 369726 442444 466559 492968 663666 739452 774277 884888 933118 1327332 1399677 1478904 1548554 1866236 2322831 2654664 2799354 3097108 3265913 3732472 4645662 5598708 6194216 6531826 9291324 9797739 11197416 13063652 18371861 18582648 19595478 26127304 36743722 39190956 55115583 73487444 78381912 110231166 128603027 146974888 220462332 257206054 385809081 440924664 514412108 771618162 973708633 1028824216 1543236324 1947417266 2921125899 3086472648 3894834532 5842251798 6815960431 7789669064 11684503596 13631920862 20447881293 23369007192 27263841724 40895762586 54527683448 81791525172 163583050344