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2097792464 = 242383173397
BaseRepresentation
bin111110100001001…
…1100010111010000
312102012100220021012
41331002130113100
513244013324324
6544054550052
7102661641005
oct17502342720
95365326235
102097792464
11987170589
124a6668328
132757c7121
1415c8738ac
15c427d20e
hex7d09c5d0

2097792464 has 80 divisors (see below), whose sum is σ = 4327972992. Its totient is φ = 982992384.

The previous prime is 2097792457. The next prime is 2097792481. The reversal of 2097792464 is 4642977902.

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, 5283914 + ... + 5284310.

Almost surely, 22097792464 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 2097792464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163986496).

2097792464 is an abundant number, since it is smaller than the sum of its proper divisors (2230180528).

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

2097792464 is a wasteful number, since it uses less digits than its factorization.

2097792464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 50.

The square root of 2097792464 is about 45801.6644239049. The cubic root of 2097792464 is about 1280.1302894719.

The spelling of 2097792464 in words is "two billion, ninety-seven million, seven hundred ninety-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 23 46 83 92 166 173 184 332 346 368 397 664 692 794 1328 1384 1588 1909 2768 3176 3818 3979 6352 7636 7958 9131 14359 15272 15916 18262 28718 30544 31832 32951 36524 57436 63664 65902 68681 73048 114872 131804 137362 146096 229744 263608 274724 330257 527216 549448 660514 757873 1098896 1321028 1515746 1579663 2642056 3031492 3159326 5284112 5700523 6062984 6318652 11401046 12125968 12637304 22802092 25274608 45604184 91208368 131112029 262224058 524448116 1048896232 2097792464