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40669000480 = 25517927933
BaseRepresentation
bin100101111000000011…
…111011001100100000
310212222021220021122001
4211320003323030200
51131242231003410
630403313453344
72636546541343
oct457003731440
9125867807561
1040669000480
111627a654aa9
127a6bb71254
133ab1859a34
141d7b39645a
1510d05d433a
hex9780fb320

40669000480 has 72 divisors (see below), whose sum is σ = 96632454492. Its totient is φ = 16174680576.

The previous prime is 40669000447. The next prime is 40669000511. The reversal of 40669000480 is 8400096604.

It can be written as a sum of positive squares in 2 ways, for example, as 39335582224 + 1333418256 = 198332^2 + 36516^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5122594 + ... + 5130526.

Almost surely, 240669000480 is an apocalyptic number.

40669000480 is a gapful number since it is divisible by the number (40) 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 40669000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48316227246).

40669000480 is an abundant number, since it is smaller than the sum of its proper divisors (55963454012).

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

40669000480 is an equidigital number, since it uses as much as digits as its factorization.

40669000480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8306 (or 8119 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 40669000480 in words is "forty billion, six hundred sixty-nine million, four hundred eighty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 179 358 716 895 1432 1790 2864 3580 5728 7160 7933 14320 15866 28640 31732 32041 39665 63464 64082 79330 126928 128164 158660 160205 253856 256328 317320 320410 512656 634640 640820 1025312 1269280 1281640 1420007 2563280 2840014 5126560 5680028 7100035 11360056 14200070 22720112 28400140 45440224 56800280 113600560 227201120 254181253 508362506 1016725012 1270906265 2033450024 2541812530 4066900048 5083625060 8133800096 10167250120 20334500240 40669000480