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2116959744 = 29323311933
BaseRepresentation
bin111111000101110…
…0011111000000000
312110112102200211110
41332023203320000
513313420202434
6550021443320
7103313601204
oct17613437000
95415380743
102116959744
11996a72209
124b0b70540
13279778503
14161222b04
15c5cb74e9
hex7e2e3e00

2116959744 has 160 divisors (see below), whose sum is σ = 6077896704. Its totient is φ = 652861440.

The previous prime is 2116959673. The next prime is 2116959749. The reversal of 2116959744 is 4479596112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2116959693 and 2116959702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116959749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1094202 + ... + 1096134.

Almost surely, 22116959744 is an apocalyptic number.

2116959744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2116959744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038948352).

2116959744 is an abundant number, since it is smaller than the sum of its proper divisors (3960936960).

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

2116959744 is a wasteful number, since it uses less digits than its factorization.

2116959744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 1992 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 2116959744 is about 46010.4308173701. The cubic root of 2116959744 is about 1284.0172744447.

The spelling of 2116959744 in words is "two billion, one hundred sixteen million, nine hundred fifty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 64 69 92 93 96 124 128 138 184 186 192 248 256 276 368 372 384 496 512 552 713 736 744 768 992 1104 1426 1472 1488 1536 1933 1984 2139 2208 2852 2944 2976 3866 3968 4278 4416 5704 5799 5888 5952 7732 7936 8556 8832 11408 11598 11776 11904 15464 15872 17112 17664 22816 23196 23808 30928 34224 35328 44459 45632 46392 47616 59923 61856 68448 88918 91264 92784 119846 123712 133377 136896 177836 179769 182528 185568 239692 247424 266754 273792 355672 359538 365056 371136 479384 494848 533508 547584 711344 719076 742272 958768 989696 1067016 1095168 1378229 1422688 1438152 1484544 1917536 2134032 2756458 2845376 2876304 2969088 3835072 4134687 4268064 5512916 5690752 5752608 7670144 8269374 8536128 11025832 11381504 11505216 15340288 16538748 17072256 22051664 22763008 23010432 30680576 33077496 34144512 44103328 46020864 66154992 68289024 88206656 92041728 132309984 176413312 264619968 352826624 529239936 705653248 1058479872 2116959744