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19213655040 = 210325416963
BaseRepresentation
bin10001111001001110…
…010001110000000000
31211121000212210202100
4101321032101300000
5303322143430130
612454315150400
71250063241666
oct217116216000
954530783670
1019213655040
11816a675458
123882745400
131a727c6168
14d03ab2c36
15776bdec60
hex479391c00

19213655040 has 132 divisors (see below), whose sum is σ = 66574974024. Its totient is φ = 5123629056.

The previous prime is 19213655039. The next prime is 19213655047. The reversal of 19213655040 is 4055631291.

19213655040 is a `hidden beast` number, since 1 + 92 + 1 + 3 + 65 + 504 + 0 = 666.

It is a super-2 number, since 2×192136550402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 19213654986 and 19213655004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19213655047) 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, 162402 + ... + 254561.

Almost surely, 219213655040 is an apocalyptic number.

19213655040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19213655040 is an abundant number, since it is smaller than the sum of its proper divisors (47361318984).

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

19213655040 is a wasteful number, since it uses less digits than its factorization.

19213655040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416994 (or 416973 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 19213655040 in words is "nineteen billion, two hundred thirteen million, six hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 5120 5760 7680 9216 11520 15360 23040 46080 416963 833926 1250889 1667852 2084815 2501778 3335704 3752667 4169630 5003556 6254445 6671408 7505334 8339260 10007112 12508890 13342816 15010668 16678520 18763335 20014224 25017780 26685632 30021336 33357040 37526670 40028448 50035560 53371264 60042672 66714080 75053340 80056896 100071120 106742528 120085344 133428160 150106680 160113792 200142240 213485056 240170688 266856320 300213360 320227584 400284480 426970112 480341376 533712640 600426720 640455168 800568960 960682752 1067425280 1200853440 1280910336 1601137920 1921365504 2134850560 2401706880 3202275840 3842731008 4803413760 6404551680 9606827520 19213655040