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20204325540 = 223257139115361
BaseRepresentation
bin10010110100010001…
…011000101010100100
31221011002000002012100
4102310101120222210
5312334301404130
613140504452100
71313452635120
oct226421305244
957132002170
1020204325540
1186288a6903
123aba47a030
131b9cb17a19
14d994b2580
157d3b7bc60
hex4b4458aa4

20204325540 has 144 divisors (see below), whose sum is σ = 70546170240. Its totient is φ = 4584867840.

The previous prime is 20204325539. The next prime is 20204325541. The reversal of 20204325540 is 4552340202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20204325539) and next prime (20204325541).

It is not an unprimeable number, because it can be changed into a prime (20204325541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117460 + ... + 232820.

It is an arithmetic number, because the mean of its divisors is an integer number (489903960).

Almost surely, 220204325540 is an apocalyptic number.

20204325540 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 20204325540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35273085120).

20204325540 is an abundant number, since it is smaller than the sum of its proper divisors (50341844700).

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

20204325540 is a wasteful number, since it uses less digits than its factorization.

20204325540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115522 (or 115517 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 20204325540 its reverse (4552340202), we get a palindrome (24756665742).

It can be divided in two parts, 20204 and 325540, that added together give a square (345744 = 5882).

The spelling of 20204325540 in words is "twenty billion, two hundred four million, three hundred twenty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 139 140 180 210 252 278 315 417 420 556 630 695 834 973 1251 1260 1390 1668 1946 2085 2502 2780 2919 3892 4170 4865 5004 5838 6255 8340 8757 9730 11676 12510 14595 17514 19460 25020 29190 35028 43785 58380 87570 115361 175140 230722 346083 461444 576805 692166 807527 1038249 1153610 1384332 1615054 1730415 2076498 2307220 2422581 3230108 3460830 4037635 4152996 4845162 5191245 6921660 7267743 8075270 9690324 10382490 12112905 14535486 16035179 16150540 20764980 24225810 29070972 32070358 36338715 48105537 48451620 64140716 72677430 80175895 96211074 112246253 144316611 145354860 160351790 192422148 224492506 240527685 288633222 320703580 336738759 448985012 481055370 561231265 577266444 673477518 721583055 962110740 1010216277 1122462530 1346955036 1443166110 1683693795 2020432554 2244925060 2886332220 3367387590 4040865108 5051081385 6734775180 10102162770 20204325540