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331066720896 = 27329137217003
BaseRepresentation
bin1001101000101010001…
…11010100001010000000
31011122112121102222002120
410310111013110022000
520411011040032041
6412031232444240
732630066460552
oct4642507241200
91148477388076
10331066720896
1111844a59554a
12541b56a9680
13252b11c1cb2
14120491054d2
158929c98366
hex4d151d4280

331066720896 has 128 divisors (see below), whose sum is σ = 916364491200. Its totient is φ = 105771982848.

The previous prime is 331066720879. The next prime is 331066720903. The reversal of 331066720896 is 698027660133.

It is a tau number, because it is divible by the number of its divisors (128).

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, 1417131 + ... + 1634133.

Almost surely, 2331066720896 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 331066720896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458182245600).

331066720896 is an abundant number, since it is smaller than the sum of its proper divisors (585297770304).

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

331066720896 is a wasteful number, since it uses less digits than its factorization.

331066720896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217186 (or 217174 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 331066720896 in words is "three hundred thirty-one billion, sixty-six million, seven hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 137 174 192 232 274 348 384 411 464 548 696 822 928 1096 1392 1644 1856 2192 2784 3288 3712 3973 4384 5568 6576 7946 8768 11136 11919 13152 15892 17536 23838 26304 31784 47676 52608 63568 95352 127136 190704 217003 254272 381408 434006 508544 651009 762816 868012 1302018 1525632 1736024 2604036 3472048 5208072 6293087 6944096 10416144 12586174 13888192 18879261 20832288 25172348 27776384 29729411 37758522 41664576 50344696 59458822 75517044 83329152 89188233 100689392 118917644 151034088 178376466 201378784 237835288 302068176 356752932 402757568 475670576 604136352 713505864 805515136 862152919 951341152 1208272704 1427011728 1724305838 1902682304 2416545408 2586458757 2854023456 3448611676 3805364608 5172917514 5708046912 6897223352 10345835028 11416093824 13794446704 20691670056 27588893408 41383340112 55177786816 82766680224 110355573632 165533360448 331066720896