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159145892560 = 2457327251009
BaseRepresentation
bin1001010000110111010…
…1011001101011010000
3120012210011001222212001
42110031311121223100
510101412322030220
6201035520443344
714332532524024
oct2241565315320
9505704058761
10159145892560
1161547786646
1226a15779554
1312013320bc5
1479ba302384
1542169c880a
hex250dd59ad0

159145892560 has 40 divisors (see below), whose sum is σ = 375082901640. Its totient is φ = 62786322432.

The previous prime is 159145892537. The next prime is 159145892561. The reversal of 159145892560 is 65298541951.

159145892560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 54348664384 + 104797228176 = 233128^2 + 323724^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159145892561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13619665 + ... + 13631344.

It is an arithmetic number, because the mean of its divisors is an integer number (9377072541).

Almost surely, 2159145892560 is an apocalyptic number.

159145892560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

159145892560 is an abundant number, since it is smaller than the sum of its proper divisors (215937009080).

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

159145892560 is a wasteful number, since it uses less digits than its factorization.

159145892560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27251095 (or 27251089 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 55.

The spelling of 159145892560 in words is "one hundred fifty-nine billion, one hundred forty-five million, eight hundred ninety-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 27251009 54502018 109004036 136255045 218008072 272510090 436016144 545020180 1090040360 1989323657 2180080720 3978647314 7957294628 9946618285 15914589256 19893236570 31829178512 39786473140 79572946280 159145892560