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18146312055840 = 253537804816783
BaseRepresentation
bin1000010000001000001000…
…11110111110110000100000
32101020202210200120012020210
410020010010132332300200
54334302121341241330
6102332144540134120
73552012346332153
oct410040436766040
971222720505223
1018146312055840
11586689809a371
122050a63237340
13a18261239747
1446a401439c9a
15217061d038b0
hex1081047bec20

18146312055840 has 48 divisors (see below), whose sum is σ = 57160882977408. Its totient is φ = 4839016548096.

The previous prime is 18146312055829. The next prime is 18146312055841. The reversal of 18146312055840 is 4855021364181.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 18146312055840.

It is not an unprimeable number, because it can be changed into a prime (18146312055841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18902407912 + ... + 18902408871.

It is an arithmetic number, because the mean of its divisors is an integer number (1190851728696).

Almost surely, 218146312055840 is an apocalyptic number.

18146312055840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18146312055840 is an abundant number, since it is smaller than the sum of its proper divisors (39014570921568).

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

18146312055840 is a wasteful number, since it uses less digits than its factorization.

18146312055840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37804816801 (or 37804816793 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 18146312055840 in words is "eighteen trillion, one hundred forty-six billion, three hundred twelve million, fifty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 37804816783 75609633566 113414450349 151219267132 189024083915 226828900698 302438534264 378048167830 453657801396 567072251745 604877068528 756096335660 907315602792 1134144503490 1209754137056 1512192671320 1814631205584 2268289006980 3024385342640 3629262411168 4536578013960 6048770685280 9073156027920 18146312055840