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200693308992 = 26311116381707
BaseRepresentation
bin1011101011101001000…
…0001101111001000000
3201012000122212102122020
42322322100031321000
511242004441341432
6232110334041440
720333236660011
oct2727220157100
9635018772566
10200693308992
1178128160540
1232a8b949280
1315c04b57b97
1499dc1d7008
15534927422c
hex2eba40de40

200693308992 has 112 divisors (see below), whose sum is σ = 579779050752. Its totient is φ = 60763118080.

The previous prime is 200693308961. The next prime is 200693308997. The reversal of 200693308992 is 299803396002.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (200693308997) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2415403 + ... + 2497109.

Almost surely, 2200693308992 is an apocalyptic number.

200693308992 is a gapful number since it is divisible by the number (22) 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 200693308992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289889525376).

200693308992 is an abundant number, since it is smaller than the sum of its proper divisors (379085741760).

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

200693308992 is a wasteful number, since it uses less digits than its factorization.

200693308992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82896 (or 82886 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 51.

The spelling of 200693308992 in words is "two hundred billion, six hundred ninety-three million, three hundred eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 1163 2112 2326 3489 4652 6978 9304 12793 13956 18608 25586 27912 37216 38379 51172 55824 74432 76758 81707 102344 111648 153516 163414 204688 223296 245121 307032 326828 409376 490242 614064 653656 818752 898777 980484 1228128 1307312 1797554 1960968 2456256 2614624 2696331 3595108 3921936 5229248 5392662 7190216 7843872 10785324 14380432 15687744 21570648 28760864 43141296 57521728 86282592 95025241 172565184 190050482 285075723 380100964 570151446 760201928 1045277651 1140302892 1520403856 2090555302 2280605784 3040807712 3135832953 4181110604 4561211568 6081615424 6271665906 8362221208 9122423136 12543331812 16724442416 18244846272 25086663624 33448884832 50173327248 66897769664 100346654496 200693308992