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2999090688 = 293111391277
BaseRepresentation
bin1011001011000010…
…0111111000000000
321202000022120222220
42302300213320000
522120231400223
61213332531040
7134214564426
oct26260477000
97660276886
102999090688
1112a99aa250
126b8480a80
1338a456699
1420644b116
151284646e3
hexb2c27e00

2999090688 has 160 divisors (see below), whose sum is σ = 8785687680. Its totient is φ = 901570560.

The previous prime is 2999090687. The next prime is 2999090719. The reversal of 2999090688 is 8860909992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2999090687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2347906 + ... + 2349182.

It is an arithmetic number, because the mean of its divisors is an integer number (54910548).

Almost surely, 22999090688 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 2999090688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4392843840).

2999090688 is an abundant number, since it is smaller than the sum of its proper divisors (5786596992).

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

2999090688 is a wasteful number, since it uses less digits than its factorization.

2999090688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 60.

The square root of 2999090688 is about 54763.9542765129. The cubic root of 2999090688 is about 1442.1038383779.

The spelling of 2999090688 in words is "two billion, nine hundred ninety-nine million, ninety thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 139 176 192 256 264 278 352 384 417 512 528 556 704 768 834 1056 1112 1277 1408 1529 1536 1668 2112 2224 2554 2816 3058 3336 3831 4224 4448 4587 5108 5632 6116 6672 7662 8448 8896 9174 10216 12232 13344 14047 15324 16896 17792 18348 20432 24464 26688 28094 30648 35584 36696 40864 42141 48928 53376 56188 61296 71168 73392 81728 84282 97856 106752 112376 122592 146784 163456 168564 177503 195712 213504 224752 245184 293568 326912 337128 355006 391424 449504 490368 532509 587136 653824 674256 710012 782848 899008 980736 1065018 1174272 1348512 1420024 1798016 1952533 1961472 2130036 2348544 2697024 2840048 3596032 3905066 4260072 5394048 5680096 5857599 7192064 7810132 8520144 10788096 11360192 11715198 15620264 17040288 21576192 22720384 23430396 31240528 34080576 45440768 46860792 62481056 68161152 90881536 93721584 124962112 136322304 187443168 249924224 272644608 374886336 499848448 749772672 999696896 1499545344 2999090688