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200011119984 = 243213510720921
BaseRepresentation
bin1011101001000110010…
…1110111110101110000
3201010021010012122020200
42322101211313311300
511234110321314414
6231514524235200
720310314316534
oct2722145676560
9633233178220
10200011119984
1177908076875
123291b39bb00
1315b26713750
149975777bc4
15530941e109
hex2e91977d70

200011119984 has 120 divisors (see below), whose sum is σ = 602958147792. Its totient is φ = 61526891520.

The previous prime is 200011119967. The next prime is 200011120021. The reversal of 200011119984 is 489911110002.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9549844 + ... + 9570764.

Almost surely, 2200011119984 is an apocalyptic number.

200011119984 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 200011119984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301479073896).

200011119984 is an abundant number, since it is smaller than the sum of its proper divisors (402947027808).

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

200011119984 is a wasteful number, since it uses less digits than its factorization.

200011119984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26055 (or 26046 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

Adding to 200011119984 its reverse (489911110002), we get a palindrome (689922229986).

The spelling of 200011119984 in words is "two hundred billion, eleven million, one hundred nineteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 5107 10214 15321 20428 20921 30642 40856 41842 45963 61284 62763 66391 81712 83684 91926 122568 125526 132782 167368 183852 188289 199173 245136 251052 265564 271973 334736 367704 376578 398346 502104 531128 543946 597519 735408 753156 796692 815919 1004208 1062256 1087892 1195038 1506312 1593384 1631838 2175784 2390076 2447757 3012624 3186768 3263676 4351568 4780152 4895514 6527352 9560304 9791028 13054704 19582056 39164112 106843547 213687094 320530641 427374188 641061282 854748376 961591923 1282122564 1388966111 1709496752 1923183846 2564245128 2777932222 3846367692 4166898333 5128490256 5555864444 7692735384 8333796666 11111728888 12500694999 15385470768 16667593332 22223457776 25001389998 33335186664 50002779996 66670373328 100005559992 200011119984