Search a number
-
+
16641244400 = 24521113128871
BaseRepresentation
bin11110111111110010…
…10011110011110000
31120221202102210202012
433133321103303300
5233040124310100
611351143342052
71126246146344
oct173771236360
946852383665
1016641244400
11706a604250
123285151928
131752892ba1
14b3c1b3624
15675e5e135
hex3dfe53cf0

16641244400 has 120 divisors (see below), whose sum is σ = 43949651328. Its totient is φ = 6004960000.

The previous prime is 16641244397. The next prime is 16641244421. The reversal of 16641244400 is 444214661.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 561965 + ... + 590835.

Almost surely, 216641244400 is an apocalyptic number.

16641244400 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 16641244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21974825664).

16641244400 is an abundant number, since it is smaller than the sum of its proper divisors (27308406928).

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

16641244400 is a wasteful number, since it uses less digits than its factorization.

16641244400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29031 (or 29020 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 16641244400 in words is "sixteen billion, six hundred forty-one million, two hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 131 176 200 220 262 275 400 440 524 550 655 880 1048 1100 1310 1441 2096 2200 2620 2882 3275 4400 5240 5764 6550 7205 10480 11528 13100 14410 23056 26200 28820 28871 36025 52400 57640 57742 72050 115280 115484 144100 144355 230968 288200 288710 317581 461936 576400 577420 635162 721775 1154840 1270324 1443550 1587905 2309680 2540648 2887100 3175810 3782101 5081296 5774200 6351620 7564202 7939525 11548400 12703240 15128404 15879050 18910505 25406480 30256808 31758100 37821010 41603111 60513616 63516200 75642020 83206222 94552525 127032400 151284040 166412444 189105050 208015555 302568080 332824888 378210100 416031110 665649776 756420200 832062220 1040077775 1512840400 1664124440 2080155550 3328248880 4160311100 8320622200 16641244400