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2310052992 = 273133591289
BaseRepresentation
bin1000100110110000…
…1001110010000000
312221222202211222020
42021230021302000
514212333143432
61021120241440
7111150061242
oct21154116200
95858684866
102310052992
11a85a68005
12545770280
132aa784b80
1417cb28092
15d7c0a22c
hex89b09c80

2310052992 has 128 divisors (see below), whose sum is σ = 6631632000. Its totient is φ = 708255744.

The previous prime is 2310052991. The next prime is 2310052999. The reversal of 2310052992 is 2992500132.

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

It is not an unprimeable number, because it can be changed into a prime (2310052991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1791484 + ... + 1792772.

It is an arithmetic number, because the mean of its divisors is an integer number (51809625).

Almost surely, 22310052992 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 2310052992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3315816000).

2310052992 is an abundant number, since it is smaller than the sum of its proper divisors (4321579008).

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

2310052992 is a wasteful number, since it uses less digits than its factorization.

2310052992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 2310052992 is about 48063.0106422808. The cubic root of 2310052992 is about 1321.9265165756.

The spelling of 2310052992 in words is "two billion, three hundred ten million, fifty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 359 384 416 624 718 832 1077 1248 1289 1436 1664 2154 2496 2578 2872 3867 4308 4667 4992 5156 5744 7734 8616 9334 10312 11488 14001 15468 16757 17232 18668 20624 22976 28002 30936 33514 34464 37336 41248 45952 50271 56004 61872 67028 68928 74672 82496 100542 112008 123744 134056 137856 149344 164992 201084 224016 247488 268112 298688 402168 448032 462751 494976 536224 597376 804336 896064 925502 1072448 1388253 1608672 1792128 1851004 2144896 2776506 3217344 3702008 5553012 6015763 6434688 7404016 11106024 12031526 14808032 18047289 22212048 24063052 29616064 36094578 44424096 48126104 59232128 72189156 88848192 96252208 144378312 177696384 192504416 288756624 385008832 577513248 770017664 1155026496 2310052992