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161654809344 = 28371713712911
BaseRepresentation
bin1001011010001101100…
…0001010001100000000
3120110021000001011122220
42112203120022030000
510122032112344334
6202132503331040
714451646131150
oct2264330121400
9513230034586
10161654809344
1162614a1a996
12273b5a50a80
1312323052b52
147b775d4760
154311db6449
hex25a360a300

161654809344 has 288 divisors, whose sum is σ = 524464367616. Its totient is φ = 43149557760.

The previous prime is 161654809331. The next prime is 161654809373. The reversal of 161654809344 is 443908456161.

It is a happy number.

It is a super-2 number, since 2×1616548093442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12514249 + ... + 12527159.

It is an arithmetic number, because the mean of its divisors is an integer number (1821056832).

Almost surely, 2161654809344 is an apocalyptic number.

161654809344 is a gapful number since it is divisible by the number (14) 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 161654809344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262232183808).

161654809344 is an abundant number, since it is smaller than the sum of its proper divisors (362809558272).

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

161654809344 is a wasteful number, since it uses less digits than its factorization.

161654809344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13091 (or 13077 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 161654809344 in words is "one hundred sixty-one billion, six hundred fifty-four million, eight hundred nine thousand, three hundred forty-four".