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130960604544 = 27371123192571
BaseRepresentation
bin111100111110111011…
…1000011110110000000
3110112000212111000022220
41321331313003312000
54121201403321134
6140055032131040
712314216525460
oct1717567036600
9415025430286
10130960604544
11505a3935590
122146a536a80
13c470bca3a3
1464a4cbdba0
153617362149
hex1e7ddc3d80

130960604544 has 256 divisors, whose sum is σ = 452559605760. Its totient is φ = 32536627200.

The previous prime is 130960604471. The next prime is 130960604557. The reversal of 130960604544 is 445406069031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 130960604496 and 130960604505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 583779 + ... + 776349.

It is an arithmetic number, because the mean of its divisors is an integer number (1767810960).

Almost surely, 2130960604544 is an apocalyptic number.

130960604544 is a gapful number since it is divisible by the number (14) 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 130960604544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226279802880).

130960604544 is an abundant number, since it is smaller than the sum of its proper divisors (321599001216).

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

130960604544 is a wasteful number, since it uses less digits than its factorization.

130960604544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192629 (or 192617 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 130960604544 in words is "one hundred thirty billion, nine hundred sixty million, six hundred four thousand, five hundred forty-four".