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20626404640 = 2551741184957
BaseRepresentation
bin10011001101011011…
…011111010100100000
31222020111012220212121
4103031123133110200
5314220324422030
613250423234024
71330066355332
oct231533372440
958214186777
1020626404640
118825082106
123bb78a8914
131c393b9b7a
14dd9583452
1580ac5247a
hex4cd6df520

20626404640 has 96 divisors (see below), whose sum is σ = 52855077744. Its totient is φ = 7575797760.

The previous prime is 20626404593. The next prime is 20626404679. The reversal of 20626404640 is 4640462602.

It can be written as a sum of positive squares in 8 ways, for example, as 11338842256 + 9287562384 = 106484^2 + 96372^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 20626404596 and 20626404605.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19042 + ... + 203998.

Almost surely, 220626404640 is an apocalyptic number.

20626404640 is a gapful number since it is divisible by the number (20) 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 20626404640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26427538872).

20626404640 is an abundant number, since it is smaller than the sum of its proper divisors (32228673104).

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

20626404640 is a wasteful number, since it uses less digits than its factorization.

20626404640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185030 (or 185022 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The spelling of 20626404640 in words is "twenty billion, six hundred twenty-six million, four hundred four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 41 68 80 82 85 136 160 164 170 205 272 328 340 410 544 656 680 697 820 1312 1360 1394 1640 2720 2788 3280 3485 5576 6560 6970 11152 13940 22304 27880 55760 111520 184957 369914 739828 924785 1479656 1849570 2959312 3144269 3699140 5918624 6288538 7398280 7583237 12577076 14796560 15166474 15721345 25154152 29593120 30332948 31442690 37916185 50308304 60665896 62885380 75832370 100616608 121331792 125770760 128915029 151664740 242663584 251541520 257830058 303329480 503083040 515660116 606658960 644575145 1031320232 1213317920 1289150290 2062640464 2578300580 4125280928 5156601160 10313202320 20626404640