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130770378720 = 25345233771167
BaseRepresentation
bin111100111001010000…
…1011001111111100000
3110111112121112112120000
41321302201121333200
54120304204104340
6140024115020000
712306416610312
oct1716241317740
9414477475500
10130770378720
1150506519063
122141689a600
13c440685c27
1464879237b2
1536057d8d30
hex1e72859fe0

130770378720 has 960 divisors, whose sum is σ = 504561125376. Its totient is φ = 31805706240.

The previous prime is 130770378719. The next prime is 130770378727. The reversal of 130770378720 is 27873077031.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130770378727) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 783056077 + ... + 783056243.

Almost surely, 2130770378720 is an apocalyptic number.

130770378720 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 130770378720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252280562688).

130770378720 is an abundant number, since it is smaller than the sum of its proper divisors (373790746656).

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

130770378720 is a wasteful number, since it uses less digits than its factorization.

130770378720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The spelling of 130770378720 in words is "one hundred thirty billion, seven hundred seventy million, three hundred seventy-eight thousand, seven hundred twenty".