Search a number
-
+
130616369730 = 232571126012851
BaseRepresentation
bin111100110100101010…
…1111010001001000010
3110111010212202001221100
41321221111322021002
54120000242312410
6140000534035230
712302536552440
oct1715125721102
9414125661840
10130616369730
1150437598900
12213931a8b16
13c4177b2352
1464712b3b90
1535e70168c0
hex1e6957a242

130616369730 has 288 divisors, whose sum is σ = 427467890304. Its totient is φ = 27086400000.

The previous prime is 130616369563. The next prime is 130616369789. The reversal of 130616369730 is 37963616031.

130616369730 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 1 + 636 + 9 + 7 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45812805 + ... + 45815655.

It is an arithmetic number, because the mean of its divisors is an integer number (1484263508).

Almost surely, 2130616369730 is an apocalyptic number.

130616369730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130616369730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213733945152).

130616369730 is an abundant number, since it is smaller than the sum of its proper divisors (296851520574).

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

130616369730 is a wasteful number, since it uses less digits than its factorization.

130616369730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3494 (or 3480 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The spelling of 130616369730 in words is "one hundred thirty billion, six hundred sixteen million, three hundred sixty-nine thousand, seven hundred thirty".