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130979473920 = 2932531183383
BaseRepresentation
bin111100111111011111…
…1000010101000000000
3110112002011222200020200
41321332333002220000
54121221221131140
6140100544405200
712314536105311
oct1717677025000
9415064880220
10130979473920
1150603553409
1221474916800
13c474aa5cb9
1464a75d2608
153618d3d030
hex1e7efc2a00

130979473920 has 240 divisors, whose sum is σ = 468254172672. Its totient is φ = 33800970240.

The previous prime is 130979473903. The next prime is 130979473927. The reversal of 130979473920 is 29374979031.

130979473920 is a `hidden beast` number, since 13 + 0 + 9 + 79 + 473 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (130979473927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 622549 + ... + 805931.

Almost surely, 2130979473920 is an apocalyptic number.

130979473920 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 130979473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234127086336).

130979473920 is an abundant number, since it is smaller than the sum of its proper divisors (337274698752).

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

130979473920 is a wasteful number, since it uses less digits than its factorization.

130979473920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183443 (or 183424 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The spelling of 130979473920 in words is "one hundred thirty billion, nine hundred seventy-nine million, four hundred seventy-three thousand, nine hundred twenty".