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130773392640 = 28325112234079
BaseRepresentation
bin111100111001010110…
…0111001110100000000
3110111112211012122212200
41321302230321310000
54120310442031030
6140024303353200
712306454332252
oct1716254716400
9414484178780
10130773392640
1150508197500
12214178b2800
13c44119ca07
1464880a9cd2
153605bd1d60
hex1e72b39d00

130773392640 has 648 divisors, whose sum is σ = 519085082880. Its totient is φ = 30316830720.

The previous prime is 130773392621. The next prime is 130773392671. The reversal of 130773392640 is 46293377031.

It is a happy number.

130773392640 is a `hidden beast` number, since 1 + 307 + 7 + 339 + 2 + 6 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32058121 + ... + 32062199.

Almost surely, 2130773392640 is an apocalyptic number.

130773392640 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 130773392640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259542541440).

130773392640 is an abundant number, since it is smaller than the sum of its proper divisors (388311690240).

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

130773392640 is a wasteful number, since it uses less digits than its factorization.

130773392640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4151 (or 4123 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 130773392640 in words is "one hundred thirty billion, seven hundred seventy-three million, three hundred ninety-two thousand, six hundred forty".