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19946409120 = 25325111259243
BaseRepresentation
bin10010100100111001…
…100000110010100000
31220111002200120101100
4102210321200302200
5311322240042440
613055132434400
71304201452161
oct224471406240
956432616340
1019946409120
118506256440
123a48018a00
131b5b562c61
14d73135768
157bb1d2230
hex4a4e60ca0

19946409120 has 144 divisors (see below), whose sum is σ = 74255100192. Its totient is φ = 4835489280.

The previous prime is 19946409079. The next prime is 19946409127. The reversal of 19946409120 is 2190464991.

19946409120 is a `hidden beast` number, since 199 + 46 + 409 + 12 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (19946409127) 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 23 ways as a sum of consecutive naturals, for example, 613782 + ... + 645461.

It is an arithmetic number, because the mean of its divisors is an integer number (515660418).

Almost surely, 219946409120 is an apocalyptic number.

19946409120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19946409120 is an abundant number, since it is smaller than the sum of its proper divisors (54308691072).

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

19946409120 is a wasteful number, since it uses less digits than its factorization.

19946409120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259275 (or 1259264 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 19946409120 in words is "nineteen billion, nine hundred forty-six million, four hundred nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 15840 1259243 2518486 3777729 5036972 6296215 7555458 10073944 11333187 12592430 13851673 15110916 18888645 20147888 22666374 25184860 27703346 30221832 37777290 40295776 41555019 45332748 50369720 55406692 56665935 60443664 69258365 75554580 83110038 90665496 100739440 110813384 113331870 120887328 124665057 138516730 151109160 166220076 181330992 201478880 207775095 221626768 226663740 249330114 277033460 302218320 332440152 362661984 415550190 443253536 453327480 498660228 554066920 604436640 623325285 664880304 831100380 906654960 997320456 1108133840 1246650570 1329760608 1662200760 1813309920 1994640912 2216267680 2493301140 3324401520 3989281824 4986602280 6648803040 9973204560 19946409120