Search a number
-
+
16404047280 = 24325113201623
BaseRepresentation
bin11110100011100000…
…11110010110110000
31120100020002221110200
433101300132112300
5232043414003110
611311431355200
71120336046505
oct172160362660
946306087420
1016404047280
116a58725575
123219822b00
1317156b3a6a
14b188ab4ac
156602086c0
hex3d1c1e5b0

16404047280 has 120 divisors (see below), whose sum is σ = 55578058848. Its totient is φ = 4335679488.

The previous prime is 16404047279. The next prime is 16404047291. The reversal of 16404047280 is 8274040461.

16404047280 is a `hidden beast` number, since 1 + 640 + 4 + 0 + 4 + 7 + 2 + 8 + 0 = 666.

16404047280 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 19452 + ... + 182171.

Almost surely, 216404047280 is an apocalyptic number.

16404047280 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 16404047280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27789029424).

16404047280 is an abundant number, since it is smaller than the sum of its proper divisors (39174011568).

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

16404047280 is a wasteful number, since it uses less digits than its factorization.

16404047280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201755 (or 201746 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 16404047280 in words is "sixteen billion, four hundred four million, forty-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 113 120 144 180 226 240 339 360 452 565 678 720 904 1017 1130 1356 1695 1808 2034 2260 2712 3390 4068 4520 5085 5424 6780 8136 9040 10170 13560 16272 20340 27120 40680 81360 201623 403246 604869 806492 1008115 1209738 1612984 1814607 2016230 2419476 3024345 3225968 3629214 4032460 4838952 6048690 7258428 8064920 9073035 9677904 12097380 14516856 16129840 18146070 22783399 24194760 29033712 36292140 45566798 48389520 68350197 72584280 91133596 113916995 136700394 145168560 182267192 205050591 227833990 273400788 341750985 364534384 410101182 455667980 546801576 683501970 820202364 911335960 1025252955 1093603152 1367003940 1640404728 1822671920 2050505910 2734007880 3280809456 4101011820 5468015760 8202023640 16404047280