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161861761152 = 27327213220573
BaseRepresentation
bin1001011010111110110…
…1100111100010000000
3120110210102110102011200
42112233231213202000
510122443102324102
6202205215141200
714460041161200
oct2265755474200
9513712412150
10161861761152
1162710820943
1227453214800
1312356ba2440
147b96ca6400
15432514551c
hex25afb67880

161861761152 has 288 divisors, whose sum is σ = 583499842380. Its totient is φ = 42688622592.

The previous prime is 161861761147. The next prime is 161861761169. The reversal of 161861761152 is 251167168161.

161861761152 is a `hidden beast` number, since 1 + 6 + 18 + 6 + 17 + 611 + 5 + 2 = 666.

161861761152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 126013640256 + 35848120896 = 354984^2 + 189336^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 161861761098 and 161861761107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 623538 + ... + 844110.

Almost surely, 2161861761152 is an apocalyptic number.

161861761152 is a gapful number since it is divisible by the number (12) 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 161861761152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291749921190).

161861761152 is an abundant number, since it is smaller than the sum of its proper divisors (421638081228).

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

161861761152 is a wasteful number, since it uses less digits than its factorization.

161861761152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220620 (or 220598 counting only the distinct ones).

The product of its digits is 120960, while the sum is 45.

The spelling of 161861761152 in words is "one hundred sixty-one billion, eight hundred sixty-one million, seven hundred sixty-one thousand, one hundred fifty-two".