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159854500080 = 243351141916057
BaseRepresentation
bin1001010011100000010…
…0100001100011110000
3120021121112102222122000
42110320010201203300
510104340223000310
6201234112414000
714356225555122
oct2247004414360
9507545388560
10159854500080
11618807749a0
1226b92b47300
13120c70850b2
147a4647b212
154258ceb4c0
hex25381218f0

159854500080 has 320 divisors, whose sum is σ = 602136460800. Its totient is φ = 38657710080.

The previous prime is 159854500073. The next prime is 159854500093. The reversal of 159854500080 is 80005458951.

It is a happy number.

159854500080 is a `hidden beast` number, since 1 + 5 + 98 + 54 + 500 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×1598545000802 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a junction number, because it is equal to n+sod(n) for n = 159854499999 and 159854500035.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9947412 + ... + 9963468.

It is an arithmetic number, because the mean of its divisors is an integer number (1881676440).

Almost surely, 2159854500080 is an apocalyptic number.

159854500080 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 159854500080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301068230400).

159854500080 is an abundant number, since it is smaller than the sum of its proper divisors (442281960720).

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

159854500080 is a wasteful number, since it uses less digits than its factorization.

159854500080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16509 (or 16497 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 159854500080 in words is "one hundred fifty-nine billion, eight hundred fifty-four million, five hundred thousand, eighty".