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159221687040 = 28355133233
BaseRepresentation
bin1001010001001001011…
…0100010001100000000
3120012222102200202100000
42110102112202030000
510102041222441130
6201051225200000
714334443003133
oct2242226421400
9505872622300
10159221687040
1161586545109
1226a37030000
1312025c3b000
1479c63d221a
15421d49b260
hex25125a2300

159221687040 has 864 divisors, whose sum is σ = 621536086080. Its totient is φ = 39024820224.

The previous prime is 159221686931. The next prime is 159221687059. The reversal of 159221687040 is 40786122951.

159221687040 is a `hidden beast` number, since 1 + 592 + 2 + 16 + 8 + 7 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 683354764 + ... + 683354996.

It is an arithmetic number, because the mean of its divisors is an integer number (719370470).

Almost surely, 2159221687040 is an apocalyptic number.

159221687040 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 159221687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310768043040).

159221687040 is an abundant number, since it is smaller than the sum of its proper divisors (462314399040).

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

159221687040 is an frugal number, since it uses more digits than its factorization.

159221687040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 159221687040 in words is "one hundred fifty-nine billion, two hundred twenty-one million, six hundred eighty-seven thousand, forty".