Search a number
-
+
16403170934024 = 2375352791046917
BaseRepresentation
bin1110111010110010100100…
…1011010011110100001000
32011002010110012000022110022
43232230221023103310020
54122222143224342044
654515302424240012
73312042603301220
oct356545113236410
964063405008408
1016403170934024
1152546003a94a6
121a0b064910008
1391ca73a59374
14409cbc2a1080
151d6a3dd803ee
hexeeb292d3d08

16403170934024 has 64 divisors (see below), whose sum is σ = 35819671219200. Its totient is φ = 6895977064704.

The previous prime is 16403170934023. The next prime is 16403170934053. The reversal of 16403170934024 is 42043907130461.

16403170934024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (16403170934021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15144614 + ... + 16191530.

It is an arithmetic number, because the mean of its divisors is an integer number (559682362800).

Almost surely, 216403170934024 is an apocalyptic number.

16403170934024 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 16403170934024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17909835609600).

16403170934024 is an abundant number, since it is smaller than the sum of its proper divisors (19416500285176).

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

16403170934024 is a wasteful number, since it uses less digits than its factorization.

16403170934024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052262 (or 1052258 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 44.

The spelling of 16403170934024 in words is "sixteen trillion, four hundred three billion, one hundred seventy million, nine hundred thirty-four thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 53 56 106 212 371 424 742 1484 2968 5279 10558 21116 36953 42232 73906 147812 279787 295624 559574 1046917 1119148 1958509 2093834 2238296 3917018 4187668 7328419 7834036 8375336 14656838 15668072 29313676 55486601 58627352 110973202 221946404 388406207 443892808 776812414 1553624828 3107249656 5526674843 11053349686 22106699372 38686723901 44213398744 77373447802 154746895604 292913766679 309493791208 585827533358 1171655066716 2050396366753 2343310133432 4100792733506 8201585467012 16403170934024