Search a number
-
+
16253823744 = 283312371901
BaseRepresentation
bin11110010001100110…
…11010101100000000
31112221202102210112000
433020303122230000
5231241434324434
611244503504000
71113533136144
oct171063325400
945852383460
1016253823744
116990950394
123197458000
1316c05371b2
14b02965224
15651e32b99
hex3c8cdab00

16253823744 has 144 divisors (see below), whose sum is σ = 48129577440. Its totient is φ = 5410713600.

The previous prime is 16253823727. The next prime is 16253823757. The reversal of 16253823744 is 44732835261.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 16253823744.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8549194 + ... + 8551094.

Almost surely, 216253823744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16253823744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24064788720).

16253823744 is an abundant number, since it is smaller than the sum of its proper divisors (31875753696).

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

16253823744 is a wasteful number, since it uses less digits than its factorization.

16253823744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3163 (or 3143 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 16253823744 in words is "sixteen billion, two hundred fifty-three million, eight hundred twenty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1237 1728 1901 2304 2474 3456 3711 3802 4948 5703 6912 7422 7604 9896 11133 11406 14844 15208 17109 19792 22266 22812 29688 30416 33399 34218 39584 44532 45624 51327 59376 60832 66798 68436 79168 89064 91248 102654 118752 121664 133596 136872 158336 178128 182496 205308 237504 243328 267192 273744 316672 356256 364992 410616 475008 486656 534384 547488 712512 729984 821232 950016 1068768 1094976 1425024 1459968 1642464 2137536 2189952 2351537 2850048 3284928 4275072 4379904 4703074 6569856 7054611 8550144 9406148 13139712 14109222 18812296 21163833 28218444 37624592 42327666 56436888 63491499 75249184 84655332 112873776 126982998 150498368 169310664 225747552 253965996 300996736 338621328 451495104 507931992 601993472 677242656 902990208 1015863984 1354485312 1805980416 2031727968 2708970624 4063455936 5417941248 8126911872 16253823744