Search a number
-
+
116693115120 = 24325162073771
BaseRepresentation
bin110110010101101110…
…0111010000011110000
3102011012112200110020200
41230223130322003300
53402441414140440
6125335202235200
711300523053421
oct1545334720360
9364175613220
10116693115120
114554224860a
121a748355b00
13b00906435a
145910097648
15307e9e2c30
hex1b2b73a0f0

116693115120 has 60 divisors (see below), whose sum is σ = 391894380696. Its totient is φ = 31118163840.

The previous prime is 116693115103. The next prime is 116693115151. The reversal of 116693115120 is 21511396611.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1166931151202 (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81036166 + ... + 81037605.

Almost surely, 2116693115120 is an apocalyptic number.

116693115120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116693115120 is an abundant number, since it is smaller than the sum of its proper divisors (275201265576).

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

116693115120 is a wasteful number, since it uses less digits than its factorization.

116693115120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162073790 (or 162073781 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 116693115120 in words is "one hundred sixteen billion, six hundred ninety-three million, one hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 162073771 324147542 486221313 648295084 810368855 972442626 1296590168 1458663939 1620737710 1944885252 2431106565 2593180336 2917327878 3241475420 3889770504 4862213130 5834655756 6482950840 7293319695 7779541008 9724426260 11669311512 12965901680 14586639390 19448852520 23338623024 29173278780 38897705040 58346557560 116693115120