Search a number
-
+
130689269907840 = 2734575310936217
BaseRepresentation
bin11101101101110001110111…
…100000100100000110000000
3122010201202211220221112020000
4131231301313200210012000
5114112203111044022330
61141541453300120000
736345662640230460
oct3555616740440600
9563652756845200
10130689269907840
113870700a889866
12127a8558096000
1357bcc399ba667
14243b5743b1ba0
1510197db629560
hex76dc77824180

130689269907840 has 1280 divisors, whose sum is σ = 544037188590720. Its totient is φ = 29276689268736.

The previous prime is 130689269907767. The next prime is 130689269907919. The reversal of 130689269907840 is 48709962986031.

130689269907840 is a `hidden beast` number, since 130 + 6 + 89 + 269 + 90 + 78 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 21021272412 + ... + 21021278628.

Almost surely, 2130689269907840 is an apocalyptic number.

130689269907840 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 130689269907840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272018594295360).

130689269907840 is an abundant number, since it is smaller than the sum of its proper divisors (413347918682880).

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

130689269907840 is a wasteful number, since it uses less digits than its factorization.

130689269907840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7401 (or 7380 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 130689269907840 in words is "one hundred thirty trillion, six hundred eighty-nine billion, two hundred sixty-nine million, nine hundred seven thousand, eight hundred forty".