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2101328932992 = 27331134950417
BaseRepresentation
bin11110100101000000111…
…101101111000010000000
321102212220020002222120020
4132211000331233002000
5233412010201323432
64245200455413440
7304546614136542
oct36450075570200
97385806088506
102101328932992
11740194445a13
1229b302984280
1312320149c1a3
14739c2203692
15399d8c2022c
hex1e940f6f080

2101328932992 has 128 divisors (see below), whose sum is σ = 5615758512000. Its totient is φ = 696176394240.

The previous prime is 2101328932979. The next prime is 2101328933023. The reversal of 2101328932992 is 2992398231012.

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, 41653768 + ... + 41704184.

It is an arithmetic number, because the mean of its divisors is an integer number (43873113375).

Almost surely, 22101328932992 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 2101328932992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807879256000).

2101328932992 is an abundant number, since it is smaller than the sum of its proper divisors (3514429579008).

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

2101328932992 is a wasteful number, since it uses less digits than its factorization.

2101328932992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51094 (or 51082 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The spelling of 2101328932992 in words is "two trillion, one hundred one billion, three hundred twenty-eight million, nine hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 311 349 384 622 698 933 1047 1244 1396 1866 2094 2488 2792 3732 4188 4976 5584 7464 8376 9952 11168 14928 16752 19904 22336 29856 33504 39808 44672 50417 59712 67008 100834 108539 119424 134016 151251 201668 217078 302502 325617 403336 434156 605004 651234 806672 868312 1210008 1302468 1613344 1736624 2420016 2604936 3226688 3473248 4840032 5209872 6453376 6946496 9680064 10419744 13892992 15679687 17595533 19360128 20839488 31359374 35191066 41678976 47039061 52786599 62718748 70382132 94078122 105573198 125437496 140764264 188156244 211146396 250874992 281528528 376312488 422292792 501749984 563057056 752624976 844585584 1003499968 1126114112 1505249952 1689171168 2006999936 2252228224 3010499904 3378342336 5472210763 6020999808 6756684672 10944421526 16416632289 21888843052 32833264578 43777686104 65666529156 87555372208 131333058312 175110744416 262666116624 350221488832 525332233248 700442977664 1050664466496 2101328932992