Search a number
-
+
116303347600 = 245211108724317
BaseRepresentation
bin110110001010000111…
…0000011111110010000
3102010012101021012201121
41230110032003332100
53401142124110400
6125232400212024
711255051100106
oct1542416037620
9363171235647
10116303347600
11453622314a0
121a65990a014
13ac7639639b
1458b43d7c76
15305a6a121a
hex1b14383f90

116303347600 has 120 divisors (see below), whose sum is σ = 305113471488. Its totient is φ = 42251481600.

The previous prime is 116303347597. The next prime is 116303347607. The reversal of 116303347600 is 6743303611.

It is not an unprimeable number, because it can be changed into a prime (116303347607) 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 23 ways as a sum of consecutive naturals, for example, 4770642 + ... + 4794958.

Almost surely, 2116303347600 is an apocalyptic number.

116303347600 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 116303347600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152556735744).

116303347600 is an abundant number, since it is smaller than the sum of its proper divisors (188810123888).

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

116303347600 is a wasteful number, since it uses less digits than its factorization.

116303347600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25433 (or 25422 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 34.

The spelling of 116303347600 in words is "one hundred sixteen billion, three hundred three million, three hundred forty-seven thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1087 1100 2174 2200 4348 4400 5435 8696 10870 11957 17392 21740 23914 24317 27175 43480 47828 48634 54350 59785 86960 95656 97268 108700 119570 121585 191312 194536 217400 239140 243170 267487 298925 389072 434800 478280 486340 534974 597850 607925 956560 972680 1069948 1195700 1215850 1337435 1945360 2139896 2391400 2431700 2674870 4279792 4782800 4863400 5349740 6687175 9726800 10699480 13374350 21398960 26432579 26748700 52865158 53497400 105730316 106994800 132162895 211460632 264325790 290758369 422921264 528651580 581516738 660814475 1057303160 1163033476 1321628950 1453791845 2114606320 2326066952 2643257900 2907583690 4652133904 5286515800 5815167380 7268959225 10573031600 11630334760 14537918450 23260669520 29075836900 58151673800 116303347600