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160449949440 = 28335112173761
BaseRepresentation
bin1001010101101110001…
…1111110111100000000
3120100011000212221121000
42111123203332330000
510112100141340230
6201413143132000
714410046032104
oct2253343767400
9510130787530
10160449949440
11620568a4900
122711a444000
13121905495b1
147aa159b904
15429121ab60
hex255b8fef00

160449949440 has 1728 divisors, whose sum is σ = 691721976960. Its totient is φ = 35035545600.

The previous prime is 160449949427. The next prime is 160449949459. The reversal of 160449949440 is 44949944061.

160449949440 is a `hidden beast` number, since 1 + 60 + 4 + 4 + 99 + 494 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2630327010 + ... + 2630327070.

It is an arithmetic number, because the mean of its divisors is an integer number (400302070).

Almost surely, 2160449949440 is an apocalyptic number.

160449949440 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 160449949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345860988480).

160449949440 is an abundant number, since it is smaller than the sum of its proper divisors (531272027520).

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

160449949440 is a wasteful number, since it uses less digits than its factorization.

160449949440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 160449949440 in words is "one hundred sixty billion, four hundred forty-nine million, nine hundred forty-nine thousand, four hundred forty".