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2993136096 = 2532311031229
BaseRepresentation
bin1011001001100111…
…1010000111100000
321201121010001211110
42302121322013200
522112220323341
61213001143320
7134113144206
oct26231720740
97647101743
102993136096
1112a66024a5
126b648ab40
13389150262
1420573b076
15127b8a216
hexb267a1e0

2993136096 has 96 divisors (see below), whose sum is σ = 8212700160. Its totient is φ = 952692224.

The previous prime is 2993136049. The next prime is 2993136163. The reversal of 2993136096 is 6906313992.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 2434810 + ... + 2436038.

It is an arithmetic number, because the mean of its divisors is an integer number (85548960).

Almost surely, 22993136096 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 2993136096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4106350080).

2993136096 is an abundant number, since it is smaller than the sum of its proper divisors (5219564064).

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

2993136096 is a wasteful number, since it uses less digits than its factorization.

2993136096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 48.

The square root of 2993136096 is about 54709.5612850259. The cubic root of 2993136096 is about 1441.1487900751.

The spelling of 2993136096 in words is "two billion, nine hundred ninety-three million, one hundred thirty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1103 1104 1229 2206 2208 2458 3309 3687 4412 4916 6618 7374 8824 9832 13236 14748 17648 19664 25369 26472 28267 29496 35296 39328 50738 52944 56534 58992 76107 84801 101476 105888 113068 117984 152214 169602 202952 226136 304428 339204 405904 452272 608856 678408 811808 904544 1217712 1355587 1356816 2435424 2711174 2713632 4066761 5422348 8133522 10844696 16267044 21689392 31178501 32534088 43378784 62357002 65068176 93535503 124714004 130136352 187071006 249428008 374142012 498856016 748284024 997712032 1496568048 2993136096