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2316828672 = 21932491
BaseRepresentation
bin1000101000011000…
…0000000000000000
312222110112002110100
42022012000000000
514221102004142
61021521402400
7111261501354
oct21206000000
95873462410
102316828672
11a89875744
12547a99400
132abcb7c52
1417d9ad464
15d85e7b4c
hex8a180000

2316828672 has 120 divisors (see below), whose sum is σ = 6706685700. Its totient is φ = 770703360.

The previous prime is 2316828653. The next prime is 2316828673. The reversal of 2316828672 is 2768286132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2316828673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4718347 + ... + 4718837.

Almost surely, 22316828672 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 2316828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3353342850).

2316828672 is an abundant number, since it is smaller than the sum of its proper divisors (4389857028).

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

2316828672 is an frugal number, since it uses more digits than its factorization.

2316828672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 496 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 2316828672 is about 48133.4465003286. The cubic root of 2316828672 is about 1323.2177146621.

The spelling of 2316828672 in words is "two billion, three hundred sixteen million, eight hundred twenty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 491 512 576 768 982 1024 1152 1473 1536 1964 2048 2304 2946 3072 3928 4096 4419 4608 5892 6144 7856 8192 8838 9216 11784 12288 15712 16384 17676 18432 23568 24576 31424 32768 35352 36864 47136 49152 62848 65536 70704 73728 94272 98304 125696 131072 141408 147456 188544 196608 251392 262144 282816 294912 377088 393216 502784 524288 565632 589824 754176 786432 1005568 1131264 1179648 1508352 1572864 2011136 2262528 2359296 3016704 4022272 4525056 4718592 6033408 8044544 9050112 12066816 16089088 18100224 24133632 32178176 36200448 48267264 64356352 72400896 96534528 128712704 144801792 193069056 257425408 289603584 386138112 579207168 772276224 1158414336 2316828672