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159955615680 = 26357241197421
BaseRepresentation
bin1001010011111000011…
…0001111111111000000
3120021212120201012011020
42110332012033333000
510110042114200210
6201252123545440
714361564204600
oct2247606177700
9507776635136
10159955615680
1161922858603
122700098b280
1312111cc9603
147a55a7cc00
154262b21770
hex253e18ffc0

159955615680 has 672 divisors, whose sum is σ = 609700779072. Its totient is φ = 35404185600.

The previous prime is 159955615669. The next prime is 159955615681. The reversal of 159955615680 is 86516559951.

159955615680 is digitally balanced in base 3, 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 (672).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159955615681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 379941870 + ... + 379942290.

It is an arithmetic number, because the mean of its divisors is an integer number (907292826).

Almost surely, 2159955615680 is an apocalyptic number.

159955615680 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 159955615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304850389536).

159955615680 is an abundant number, since it is smaller than the sum of its proper divisors (449745163392).

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

159955615680 is a wasteful number, since it uses less digits than its factorization.

159955615680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 14580000, while the sum is 60.

It can be divided in two parts, 159955 and 615680, that added together give a triangular number (775635 = T1245).

The spelling of 159955615680 in words is "one hundred fifty-nine billion, nine hundred fifty-five million, six hundred fifteen thousand, six hundred eighty".