Search a number
-
+
18496160016 = 2437111348029
BaseRepresentation
bin10001001110011101…
…010000000100010000
31202202000210021121120
4101032131100010100
5300340004110031
612255204522240
71223231523525
oct211635200420
952660707546
1018496160016
117931666864
1237023b0380
131989c6c8a9
14c766a314c
15733c13a96
hex44e750110

18496160016 has 80 divisors (see below), whose sum is σ = 48884549760. Its totient is φ = 6024632320.

The previous prime is 18496159943. The next prime is 18496160027. The reversal of 18496160016 is 61006169481.

It is a super-3 number, since 3×184961600163 (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 18496160016.

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, 361090 + ... + 409118.

It is an arithmetic number, because the mean of its divisors is an integer number (611056872).

Almost surely, 218496160016 is an apocalyptic number.

18496160016 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 18496160016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24442274880).

18496160016 is an abundant number, since it is smaller than the sum of its proper divisors (30388389744).

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

18496160016 is a wasteful number, since it uses less digits than its factorization.

18496160016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48224 (or 48218 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 18496160016 in words is "eighteen billion, four hundred ninety-six million, one hundred sixty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 113 142 213 226 284 339 426 452 568 678 852 904 1136 1356 1704 1808 2712 3408 5424 8023 16046 24069 32092 48029 48138 64184 96058 96276 128368 144087 192116 192552 288174 384232 385104 576348 768464 1152696 2305392 3410059 5427277 6820118 10230177 10854554 13640236 16281831 20460354 21709108 27280472 32563662 40920708 43418216 54560944 65127324 81841416 86836432 130254648 163682832 260509296 385336667 770673334 1156010001 1541346668 2312020002 3082693336 4624040004 6165386672 9248080008 18496160016