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200982388416 = 26318146312491
BaseRepresentation
bin1011101100101101111…
…0111101111011000000
3201012202210211012001120
42323023132331323000
511243102442412131
6232155142032240
720343350054115
oct2731336757300
9635683735046
10200982388416
1178266356157
1232b50718680
1315c4ca010b4
149a2876690c
155364827496
hex2ecb7bdec0

200982388416 has 112 divisors (see below), whose sum is σ = 535901603328. Its totient is φ = 66474777600.

The previous prime is 200982388349. The next prime is 200982388459. The reversal of 200982388416 is 614883289002.

200982388416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16083931 + ... + 16096421.

It is an arithmetic number, because the mean of its divisors is an integer number (4784835744).

Almost surely, 2200982388416 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 200982388416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267950801664).

200982388416 is an abundant number, since it is smaller than the sum of its proper divisors (334919214912).

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

200982388416 is a wasteful number, since it uses less digits than its factorization.

200982388416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13150 (or 13140 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 200982388416 in words is "two hundred billion, nine hundred eighty-two million, three hundred eighty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 181 192 362 463 543 724 926 1086 1389 1448 1852 2172 2778 2896 3704 4344 5556 5792 7408 8688 11112 11584 12491 14816 17376 22224 24982 29632 34752 37473 44448 49964 74946 83803 88896 99928 149892 167606 199856 251409 299784 335212 399712 502818 599568 670424 799424 1005636 1199136 1340848 2011272 2260871 2398272 2681696 4022544 4521742 5363392 5783333 6782613 8045088 9043484 11566666 13565226 16090176 17349999 18086968 23133332 27130452 34699998 36173936 46266664 54260904 69399996 72347872 92533328 108521808 138799992 144695744 185066656 217043616 277599984 370133312 434087232 555199968 1046783273 1110399936 2093566546 3140349819 4187133092 6280699638 8374266184 12561399276 16748532368 25122798552 33497064736 50245597104 66994129472 100491194208 200982388416