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7993833816 = 2332343615521
BaseRepresentation
bin1110111000111100…
…00011100101011000
3202122002210211111010
413130132003211120
5112332410140231
63401115333520
7402044315643
oct73436034530
922562724433
107993833816
113432346731
1216711512a0
139a51945a7
1455b940a5a
1531bbcd546
hex1dc783958

7993833816 has 128 divisors (see below), whose sum is σ = 21692183040. Its totient is φ = 2448230400.

The previous prime is 7993833791. The next prime is 7993833821. The reversal of 7993833816 is 6183383997.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1445136 + ... + 1450656.

It is an arithmetic number, because the mean of its divisors is an integer number (169470180).

Almost surely, 27993833816 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 7993833816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10846091520).

7993833816 is an abundant number, since it is smaller than the sum of its proper divisors (13698349224).

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

7993833816 is a wasteful number, since it uses less digits than its factorization.

7993833816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5657 (or 5653 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 57.

The square root of 7993833816 is about 89408.2424388266. The cubic root of 7993833816 is about 1999.4860192565.

The spelling of 7993833816 in words is "seven billion, nine hundred ninety-three million, eight hundred thirty-three thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 23 24 43 46 61 69 86 92 122 129 138 172 183 184 244 258 276 344 366 488 516 552 732 989 1032 1403 1464 1978 2623 2806 2967 3956 4209 5246 5521 5612 5934 7869 7912 8418 10492 11042 11224 11868 15738 16563 16836 20984 22084 23736 31476 33126 33672 44168 60329 62952 66252 120658 126983 132504 180987 237403 241316 253966 336781 361974 380949 474806 482632 507932 673562 712209 723948 761898 949612 1010343 1015864 1347124 1424418 1447896 1523796 1899224 2020686 2694248 2848836 3047592 4041372 5460269 5697672 7745963 8082744 10920538 14481583 15491926 16380807 21841076 23237889 28963166 30983852 32761614 43444749 43682152 46475778 57926332 61967704 65523228 86889498 92951556 115852664 131046456 173778996 185903112 333076409 347557992 666152818 999229227 1332305636 1998458454 2664611272 3996916908 7993833816