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159813913840 = 2457285381989
BaseRepresentation
bin1001010011010110100…
…1101100110011110000
3120021111201001222202221
42110311221230303300
510104244330220330
6201230102450424
714355223565650
oct2246551546360
9507451058687
10159813913840
116185a873949
1226b81433a14
13120bb844779
147a40d14360
154255480b7a
hex2535a6ccf0

159813913840 has 40 divisors (see below), whose sum is σ = 424648401120. Its totient is φ = 54793341696.

The previous prime is 159813913829. The next prime is 159813913841. The reversal of 159813913840 is 48319318951.

159813913840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×1598139138403 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159813913841) 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, 142690435 + ... + 142691554.

It is an arithmetic number, because the mean of its divisors is an integer number (10616210028).

Almost surely, 2159813913840 is an apocalyptic number.

159813913840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

159813913840 is an abundant number, since it is smaller than the sum of its proper divisors (264834487280).

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

159813913840 is a wasteful number, since it uses less digits than its factorization.

159813913840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285382009 (or 285382003 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 52.

The spelling of 159813913840 in words is "one hundred fifty-nine billion, eight hundred thirteen million, nine hundred thirteen thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 285381989 570763978 1141527956 1426909945 1997673923 2283055912 2853819890 3995347846 4566111824 5707639780 7990695692 9988369615 11415279560 15981391384 19976739230 22830559120 31962782768 39953478460 79906956920 159813913840