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16379000000240 = 2451665712291379
BaseRepresentation
bin1110111001011000100001…
…1110100000111011110000
32010222211001200010122200112
43232112020132200323300
54121323143000001430
654500224141240452
73310225613612423
oct356261036407360
963884050118615
1016379000000240
115245327556169
121a06439b63128
1391a6c1211997
14408a6808b9ba
151d60c6d77195
hexee5887a0ef0

16379000000240 has 40 divisors (see below), whose sum is σ = 38083464295440. Its totient is φ = 6551206142976.

The previous prime is 16379000000189. The next prime is 16379000000281. The reversal of 16379000000240 is 4200000097361.

16379000000240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 16379000000197 and 16379000000206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4813130 + ... + 7478249.

It is an arithmetic number, because the mean of its divisors is an integer number (952086607386).

Almost surely, 216379000000240 is an apocalyptic number.

16379000000240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16379000000240 is an abundant number, since it is smaller than the sum of its proper divisors (21704464295200).

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

16379000000240 is a wasteful number, since it uses less digits than its factorization.

16379000000240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12308049 (or 12308043 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The spelling of 16379000000240 in words is "sixteen trillion, three hundred seventy-nine billion, two hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 40 80 16657 33314 66628 83285 133256 166570 266512 333140 666280 1332560 12291379 24582758 49165516 61456895 98331032 122913790 196662064 245827580 491655160 983310320 204737500003 409475000006 818950000012 1023687500015 1637900000024 2047375000030 3275800000048 4094750000060 8189500000120 16379000000240