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20469479040 = 273253553729
BaseRepresentation
bin10011000100000100…
…110111011010000000
31221211112221021102100
4103010010313122000
5313410141312130
613223055550400
71323152462313
oct230404673200
957745837370
1020469479040
11875453a62a
123b7322b400
131c12a3489a
14dc27b497a
157ec0a5c60
hex4c4137680

20469479040 has 96 divisors (see below), whose sum is σ = 70683689700. Its totient is φ = 5458526208.

The previous prime is 20469479011. The next prime is 20469479059. The reversal of 20469479040 is 4097496402.

20469479040 is a `hidden beast` number, since 20 + 469 + 47 + 90 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20384986176 + 84492864 = 142776^2 + 9192^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

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, 1771105 + ... + 1782624.

Almost surely, 220469479040 is an apocalyptic number.

20469479040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20469479040 is an abundant number, since it is smaller than the sum of its proper divisors (50214210660).

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

20469479040 is a wasteful number, since it uses less digits than its factorization.

20469479040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3553754 (or 3553739 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 20469479040 in words is "twenty billion, four hundred sixty-nine million, four hundred seventy-nine 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 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 3553729 7107458 10661187 14214916 17768645 21322374 28429832 31983561 35537290 42644748 53305935 56859664 63967122 71074580 85289496 106611870 113719328 127934244 142149160 159917805 170578992 213223740 227438656 255868488 284298320 319835610 341157984 426447480 454877312 511736976 568596640 639671220 682315968 852894960 1023473952 1137193280 1279342440 1364631936 1705789920 2046947904 2274386560 2558684880 3411579840 4093895808 5117369760 6823159680 10234739520 20469479040