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130918805472 = 253713229127313
BaseRepresentation
bin111100111101101011…
…1100110111111100000
3110111220221211101210010
41321323113212333200
54121110203233342
6140050540204520
712313201325340
oct1717327467740
9414827741703
10130918805472
11505822862a4
1221458539740
13c465353a00
14649d51cd20
15361385729c
hex1e7b5e6fe0

130918805472 has 576 divisors, whose sum is σ = 444838625280. Its totient is φ = 32969244672.

The previous prime is 130918805467. The next prime is 130918805509. The reversal of 130918805472 is 274508819031.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 418270788 + ... + 418271100.

It is an arithmetic number, because the mean of its divisors is an integer number (772289280).

Almost surely, 2130918805472 is an apocalyptic number.

130918805472 is a gapful number since it is divisible by the number (12) 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 130918805472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222419312640).

130918805472 is an abundant number, since it is smaller than the sum of its proper divisors (313919819808).

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

130918805472 is a wasteful number, since it uses less digits than its factorization.

130918805472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 130918805472 in words is "one hundred thirty billion, nine hundred eighteen million, eight hundred five thousand, four hundred seventy-two".