Search a number
-
+
16405503420 = 223559672632
BaseRepresentation
bin11110100011101100…
…00001110110111100
31120100022211220220210
433101312001312330
5232044302102140
611311522512420
71120354323015
oct172166016674
946308756823
1016405503420
116a5952a599
12321a205710
131715aa3797
14b18b6a00c
156603e4d80
hex3d1d81dbc

16405503420 has 144 divisors (see below), whose sum is σ = 47592155520. Its totient is φ = 4220354688.

The previous prime is 16405503407. The next prime is 16405503451. The reversal of 16405503420 is 2430550461.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62378209 + ... + 62378471.

It is an arithmetic number, because the mean of its divisors is an integer number (330501080).

Almost surely, 216405503420 is an apocalyptic number.

16405503420 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 16405503420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23796077760).

16405503420 is an abundant number, since it is smaller than the sum of its proper divisors (31186652100).

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

16405503420 is a wasteful number, since it uses less digits than its factorization.

16405503420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 16405503420 in words is "sixteen billion, four hundred five million, five hundred three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 67 118 134 177 201 236 263 268 295 335 354 402 526 590 670 708 789 804 885 1005 1052 1180 1315 1340 1578 1770 2010 2630 3156 3540 3945 3953 4020 5260 7890 7906 11859 15517 15780 15812 17621 19765 23718 31034 35242 39530 46551 47436 52863 59295 62068 69169 70484 77585 79060 88105 93102 105726 118590 138338 155170 176210 186204 207507 211452 232755 237180 264315 276676 310340 345845 352420 415014 465510 528630 691690 830028 931020 1037535 1039639 1057260 1383380 2075070 2079278 3118917 4080971 4150140 4158556 4634323 5198195 6237834 8161942 9268646 10396390 12242913 12475668 13902969 15594585 16323884 18537292 20404855 20792780 23171615 24485826 27805938 31189170 40809710 46343230 48971652 55611876 61214565 62378340 69514845 81619420 92686460 122429130 139029690 244858260 273425057 278059380 546850114 820275171 1093700228 1367125285 1640550342 2734250570 3281100684 4101375855 5468501140 8202751710 16405503420