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2031323977472 = 28191513118893
BaseRepresentation
bin11101100011110100010…
…110000001011100000000
321012012012110102202222212
4131203310112001130000
5231240122414234342
64153102150321252
7266521046630366
oct35436426013400
97165173382885
102031323977472
11713530479779
12289826359228
1311972600b09a
1470460a9b636
1537c8ce81182
hex1d8f4581700

2031323977472 has 144 divisors (see below), whose sum is σ = 4310684152320. Its totient is φ = 952653312000.

The previous prime is 2031323977471. The next prime is 2031323977583. The reversal of 2031323977472 is 2747793231302.

It is a self number, because there is not a number n which added to its sum of digits gives 2031323977472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2031323977471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228413858 + ... + 228422750.

Almost surely, 22031323977472 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 2031323977472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155342076160).

2031323977472 is an abundant number, since it is smaller than the sum of its proper divisors (2279360174848).

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

2031323977472 is a wasteful number, since it uses less digits than its factorization.

2031323977472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9390 (or 9376 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 50.

The spelling of 2031323977472 in words is "two trillion, thirty-one billion, three hundred twenty-three million, nine hundred seventy-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 151 152 256 302 304 311 604 608 622 1208 1216 1244 2416 2432 2488 2869 4832 4864 4976 5738 5909 8893 9664 9952 11476 11818 17786 19328 19904 22952 23636 35572 38656 39808 45904 46961 47272 71144 79616 91808 93922 94544 142288 168967 183616 187844 189088 284576 337934 367232 375688 378176 569152 675868 734464 751376 756352 892259 1138304 1342843 1351736 1502752 1512704 1784518 2276608 2685686 2703472 2765723 3005504 3569036 5371372 5406944 5531446 6011008 7138072 10742744 10813888 11062892 12022016 14276144 21485488 21627776 22125784 25514017 28552288 42970976 43255552 44251568 51028034 52548737 57104576 85941952 88503136 102056068 105097474 114209152 171883904 177006272 204112136 210194948 228418304 343767808 354012544 408224272 417624173 420389896 708025088 816448544 835248346 840779792 1632897088 1670496692 1681559584 3265794176 3340993384 3363119168 6531588352 6681986768 6726238336 7934859287 13363973536 13452476672 15869718574 26727947072 31739437148 53455894144 63478874296 106911788288 126957748592 253915497184 507830994368 1015661988736 2031323977472