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20332312032 = 253292713547
BaseRepresentation
bin10010111011111001…
…100111010111100000
31221110222211110122210
4102323321213113200
5313120032441112
613201320002120
71316565541434
oct227371472740
957428743583
1020332312032
118694072a6a
123b35300340
131bc04a9b86
14dac4aa9c4
157e000db3c
hex4bbe675e0

20332312032 has 144 divisors (see below), whose sum is σ = 56070548352. Its totient is φ = 6449748480.

The previous prime is 20332312027. The next prime is 20332312043. The reversal of 20332312032 is 23021323302.

It is a super-2 number, since 2×203323120322 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5730483 + ... + 5734029.

It is an arithmetic number, because the mean of its divisors is an integer number (389378808).

Almost surely, 220332312032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20332312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28035274176).

20332312032 is an abundant number, since it is smaller than the sum of its proper divisors (35738236320).

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

20332312032 is a wasteful number, since it uses less digits than its factorization.

20332312032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3689 (or 3652 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 20332312032 its reverse (23021323302), we get a palindrome (43353635334).

The spelling of 20332312032 in words is "twenty billion, three hundred thirty-two million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 71 87 96 116 142 174 213 232 284 348 426 464 568 696 841 852 928 1136 1392 1682 1704 2059 2272 2523 2784 3364 3408 3547 4118 5046 6177 6728 6816 7094 8236 10092 10641 12354 13456 14188 16472 20184 21282 24708 26912 28376 32944 40368 42564 49416 56752 59711 65888 80736 85128 98832 102863 113504 119422 170256 179133 197664 205726 238844 251837 308589 340512 358266 411452 477688 503674 617178 716532 755511 822904 955376 1007348 1234356 1433064 1511022 1645808 1910752 2014696 2468712 2866128 2983027 3022044 3291616 4029392 4937424 5732256 5966054 6044088 7303273 8058784 8949081 9874848 11932108 12088176 14606546 17898162 21909819 23864216 24176352 29213092 35796324 43819638 47728432 58426184 71592648 87639276 95456864 116852368 143185296 175278552 211794917 233704736 286370592 350557104 423589834 635384751 701114208 847179668 1270769502 1694359336 2541539004 3388718672 5083078008 6777437344 10166156016 20332312032