Search a number
-
+
16404979200 = 29352427213
BaseRepresentation
bin11110100011101000…
…00001111000000000
31120100021212021211020
433101310001320000
5232044133313300
611311503345440
71120350010461
oct172164017000
946307767736
1016404979200
116a59201755
123219bb2280
13171594bcac
14b18a70d68
1566033e8a0
hex3d1d01e00

16404979200 has 120 divisors (see below), whose sum is σ = 54192950328. Its totient is φ = 4374650880.

The previous prime is 16404979189. The next prime is 16404979207. The reversal of 16404979200 is 297940461.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16404979207) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 175207 + ... + 252006.

Almost surely, 216404979200 is an apocalyptic number.

16404979200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16404979200 is an abundant number, since it is smaller than the sum of its proper divisors (37787971128).

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

16404979200 is an equidigital number, since it uses as much as digits as its factorization.

16404979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427244 (or 427223 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 16404979200 in words is "sixteen billion, four hundred four million, nine hundred seventy-nine thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 512 600 640 768 800 960 1200 1280 1536 1600 1920 2400 2560 3200 3840 4800 6400 7680 9600 12800 19200 38400 427213 854426 1281639 1708852 2136065 2563278 3417704 4272130 5126556 6408195 6835408 8544260 10253112 10680325 12816390 13670816 17088520 20506224 21360650 25632780 27341632 32040975 34177040 41012448 42721300 51265560 54683264 64081950 68354080 82024896 85442600 102531120 109366528 128163900 136708160 164049792 170885200 205062240 218733056 256327800 273416320 328099584 341770400 410124480 512655600 546832640 656199168 683540800 820248960 1025311200 1093665280 1367081600 1640497920 2050622400 2734163200 3280995840 4101244800 5468326400 8202489600 16404979200