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104991163200 = 2636527211167
BaseRepresentation
bin110000111000111110…
…1100000001101000000
3101001000000101201000000
41201301331200031000
53210010214210300
6120122101000000
710404531106500
oct1416175401500
9331000351000
10104991163200
1140587857970
12184213b3000
139b92896051
14511dca1a00
152ae74e7c00
hex1871f60340

104991163200 has 1764 divisors, whose sum is σ = 494482538592. Its totient is φ = 21685708800.

The previous prime is 104991163187. The next prime is 104991163213. The reversal of 104991163200 is 2361199401.

It is a happy number.

104991163200 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 9 + 11 + 632 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (104991163187) and next prime (104991163213).

It is a tau number, because it is divible by the number of its divisors (1764).

It is a super-2 number, since 2×1049911632002 (a number of 23 digits) contains 22 as substring.

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 251 ways as a sum of consecutive naturals, for example, 628689517 + ... + 628689683.

Almost surely, 2104991163200 is an apocalyptic number.

104991163200 is a gapful number since it is divisible by the number (10) 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 104991163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247241269296).

104991163200 is an abundant number, since it is smaller than the sum of its proper divisors (389491375392).

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

104991163200 is a wasteful number, since it uses less digits than its factorization.

104991163200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

It can be divided in two parts, 1049911 and 63200, that added together give a palindrome (1113111).

The spelling of 104991163200 in words is "one hundred four billion, nine hundred ninety-one million, one hundred sixty-three thousand, two hundred".