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130958309888 = 297175920773
BaseRepresentation
bin111100111110110111…
…0010011101000000000
3110112000201011102122122
41321331232103220000
54121200311404023
6140054511023412
712314161160510
oct1717556235000
9415021142578
10130958309888
11505a260857a
122146980ab68
13c4705a5ac3
1464a4883840
15361705c2c8
hex1e7db93a00

130958309888 has 80 divisors (see below), whose sum is σ = 299225372160. Its totient is φ = 56090382336.

The previous prime is 130958309887. The next prime is 130958309927. The reversal of 130958309888 is 888903859031.

It is a self number, because there is not a number n which added to its sum of digits gives 130958309888.

It is not an unprimeable number, because it can be changed into a prime (130958309887) 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 7 ways as a sum of consecutive naturals, for example, 6293870 + ... + 6314642.

It is an arithmetic number, because the mean of its divisors is an integer number (3740317152).

Almost surely, 2130958309888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130958309888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149612686080).

130958309888 is an abundant number, since it is smaller than the sum of its proper divisors (168267062272).

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

130958309888 is an equidigital number, since it uses as much as digits as its factorization.

130958309888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22557 (or 22541 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 62.

The spelling of 130958309888 in words is "one hundred thirty billion, nine hundred fifty-eight million, three hundred nine thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1759 1792 3518 3584 7036 12313 14072 20773 24626 28144 41546 49252 56288 83092 98504 112576 145411 166184 197008 225152 290822 332368 394016 450304 581644 664736 788032 900608 1163288 1329472 1576064 2326576 2658944 3152128 4653152 5317888 6304256 9306304 10635776 18612608 36539707 37225216 73079414 74450432 146158828 255777949 292317656 511555898 584635312 1023111796 1169270624 2046223592 2338541248 4092447184 4677082496 8184894368 9354164992 16369788736 18708329984 32739577472 65479154944 130958309888