Search a number
-
+
16413368560 = 2452326933161
BaseRepresentation
bin11110100100101000…
…00010000011110000
31120100212122111212021
433102110002003300
5232103310243220
611312403241224
71120511221321
oct172224020360
946325574767
1016413368560
116a62a11806
123220979214
1317175c8704
14b19c16448
15660e4a4aa
hex3d25020f0

16413368560 has 80 divisors (see below), whose sum is σ = 39969495360. Its totient is φ = 6256363520.

The previous prime is 16413368551. The next prime is 16413368581. The reversal of 16413368560 is 6586331461.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×164133685603 (a number of 32 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478380 + ... + 511540.

It is an arithmetic number, because the mean of its divisors is an integer number (499618692).

Almost surely, 216413368560 is an apocalyptic number.

16413368560 is a gapful number since it is divisible by the number (10) 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 16413368560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19984747680).

16413368560 is an abundant number, since it is smaller than the sum of its proper divisors (23556126800).

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

16413368560 is a wasteful number, since it uses less digits than its factorization.

16413368560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33466 (or 33460 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 16413368560 in words is "sixteen billion, four hundred thirteen million, three hundred sixty-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 269 368 460 538 920 1076 1345 1840 2152 2690 4304 5380 6187 10760 12374 21520 24748 30935 33161 49496 61870 66322 98992 123740 132644 165805 247480 265288 331610 494960 530576 663220 762703 1326440 1525406 2652880 3050812 3813515 6101624 7627030 8920309 12203248 15254060 17840618 30508120 35681236 44601545 61016240 71362472 89203090 142724944 178406180 205167107 356812360 410334214 713624720 820668428 1025835535 1641336856 2051671070 3282673712 4103342140 8206684280 16413368560