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130373384064 = 27371121721973
BaseRepresentation
bin111100101101011011…
…0111111011110000000
3110110111221112010021020
41321122312333132000
54114001041242224
6135520454025440
712263526323430
oct1713266773600
9413457463236
10130373384064
1150322416100
1221325948280
13c3a9357551
14644ad022c0
1535d0a1ac79
hex1e5adbf780

130373384064 has 1152 divisors, whose sum is σ = 493107820800. Its totient is φ = 29780213760.

The previous prime is 130373384041. The next prime is 130373384077. The reversal of 130373384064 is 460483373031.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 1785936732 + ... + 1785936804.

Almost surely, 2130373384064 is an apocalyptic number.

130373384064 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 130373384064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246553910400).

130373384064 is an abundant number, since it is smaller than the sum of its proper divisors (362734436736).

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

130373384064 is a wasteful number, since it uses less digits than its factorization.

130373384064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 130373384064 in words is "one hundred thirty billion, three hundred seventy-three million, three hundred eighty-four thousand, sixty-four".