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16404046290 = 2345411812729
BaseRepresentation
bin11110100011100000…
…11110000111010010
31120100020002220010000
433101300132013102
5232043413440130
611311431350430
71120336043562
oct172160360722
946306086100
1016404046290
116a58724855
123219822416
1317156b3488
14b188aada2
15660208260
hex3d1c1e1d2

16404046290 has 160 divisors (see below), whose sum is σ = 45450765360. Its totient is φ = 4242585600.

The previous prime is 16404046289. The next prime is 16404046291. The reversal of 16404046290 is 9264040461.

16404046290 is a `hidden beast` number, since 1 + 640 + 4 + 0 + 4 + 6 + 2 + 9 + 0 = 666.

16404046290 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16404046289) and next prime (16404046291).

It can be written as a sum of positive squares in 8 ways, for example, as 2361085281 + 14042961009 = 48591^2 + 118503^2 .

It is not an unprimeable number, because it can be changed into a prime (16404046291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6009646 + ... + 6012374.

Almost surely, 216404046290 is an apocalyptic number.

16404046290 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 16404046290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22725382680).

16404046290 is an abundant number, since it is smaller than the sum of its proper divisors (29046719070).

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

16404046290 is a wasteful number, since it uses less digits than its factorization.

16404046290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2970 (or 2961 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 16404046290 in words is "sixteen billion, four hundred four million, forty-six thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 81 82 90 123 135 162 181 205 246 270 362 369 405 410 543 615 738 810 905 1086 1107 1230 1629 1810 1845 2214 2715 2729 3258 3321 3690 4887 5430 5458 5535 6642 7421 8145 8187 9774 11070 13645 14661 14842 16290 16374 16605 22263 24435 24561 27290 29322 33210 37105 40935 44526 48870 49122 66789 73305 73683 74210 81870 111315 111889 122805 133578 146610 147366 200367 221049 222630 223778 245610 333945 335667 368415 400734 442098 493949 559445 601101 667890 671334 736830 987898 1001835 1007001 1105245 1118890 1202202 1481847 1678335 2003670 2014002 2210490 2469745 2963694 3005505 3021003 3356670 4445541 4939490 5035005 6011010 6042006 7409235 8891082 9063009 10070010 13336623 14818470 15105015 18126018 20251909 22227705 26673246 30210030 40009869 40503818 44455410 45315045 60755727 66683115 80019738 90630090 101259545 121511454 133366230 182267181 200049345 202519090 303778635 364534362 400098690 546801543 607557270 911335905 1093603086 1640404629 1822671810 2734007715 3280809258 5468015430 8202023145 16404046290