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16934173290 = 2325298972901
BaseRepresentation
bin11111100010101101…
…01111101001101010
31121201011122010122100
433301112233221222
5234140122021130
611440210034230
71136434045416
oct176126575152
947634563570
1016934173290
1171aa999041
123347278976
13179b4862a8
14b69065d46
15691a22c60
hex3f15afa6a

16934173290 has 96 divisors (see below), whose sum is σ = 46059483600. Its totient is φ = 4311014400.

The previous prime is 16934173253. The next prime is 16934173303. The reversal of 16934173290 is 9237143961.

16934173290 is a `hidden beast` number, since 16 + 9 + 341 + 7 + 3 + 290 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11200200561 + 5733972729 = 105831^2 + 75723^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195840 + ... + 268740.

Almost surely, 216934173290 is an apocalyptic number.

16934173290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16934173290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23029741800).

16934173290 is an abundant number, since it is smaller than the sum of its proper divisors (29125310310).

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

16934173290 is a wasteful number, since it uses less digits than its factorization.

16934173290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73032 (or 73029 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 16934173290 in words is "sixteen billion, nine hundred thirty-four million, one hundred seventy-three thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 89 90 145 174 178 261 267 290 435 445 522 534 801 870 890 1305 1335 1602 2581 2610 2670 4005 5162 7743 8010 12905 15486 23229 25810 38715 46458 72901 77430 116145 145802 218703 232290 364505 437406 656109 729010 1093515 1312218 2114129 2187030 3280545 4228258 6342387 6488189 6561090 10570645 12684774 12976378 19027161 19464567 21141290 31711935 32440945 38054322 38929134 58393701 63423870 64881890 95135805 97322835 116787402 188157481 190271610 194645670 291968505 376314962 564472443 583937010 940787405 1128944886 1693417329 1881574810 2822362215 3386834658 5644724430 8467086645 16934173290