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159913088400 = 243521380912671
BaseRepresentation
bin1001010011101110010…
…0000001010110010000
3120021202121200120200210
42110323210001112100
510110000222312100
6201244004244120
714360536552422
oct2247344012620
9507677616623
10159913088400
116190085119a
1226baa6a0640
1312106259640
147a5016c812
15425e020c50
hex253b901590

159913088400 has 240 divisors, whose sum is σ = 552384645120. Its totient is φ = 39311462400.

The previous prime is 159913088393. The next prime is 159913088407. The reversal of 159913088400 is 4880319951.

It is an interprime number because it is at equal distance from previous prime (159913088393) and next prime (159913088407).

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 159913088400.

It is not an unprimeable number, because it can be changed into a prime (159913088407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12614065 + ... + 12626735.

It is an arithmetic number, because the mean of its divisors is an integer number (2301602688).

Almost surely, 2159913088400 is an apocalyptic number.

159913088400 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 159913088400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276192322560).

159913088400 is an abundant number, since it is smaller than the sum of its proper divisors (392471556720).

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

159913088400 is a wasteful number, since it uses less digits than its factorization.

159913088400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13514 (or 13503 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The spelling of 159913088400 in words is "one hundred fifty-nine billion, nine hundred thirteen million, eighty-eight thousand, four hundred".