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161519445952 = 265958772871
BaseRepresentation
bin1001011001101101001…
…1110010011111000000
3120102220120022222222221
42112123103302133000
510121242434232302
6202111230140424
714445413431534
oct2263323623700
9512816288887
10161519445952
1162555575417
1227378651714
1312300caa077
147b63639bc4
154305078937
hex259b4f27c0

161519445952 has 56 divisors (see below), whose sum is σ = 326507368320. Its totient is φ = 79254577920.

The previous prime is 161519445931. The next prime is 161519445973. The reversal of 161519445952 is 259544915161.

161519445952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (161519445931) and next prime (161519445973).

It is a self number, because there is not a number n which added to its sum of digits gives 161519445952.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2180077 + ... + 2252947.

It is an arithmetic number, because the mean of its divisors is an integer number (5830488720).

Almost surely, 2161519445952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161519445952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163253684160).

161519445952 is an abundant number, since it is smaller than the sum of its proper divisors (164987922368).

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

161519445952 is an equidigital number, since it uses as much as digits as its factorization.

161519445952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73529 (or 73519 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 52.

The spelling of 161519445952 in words is "one hundred sixty-one billion, five hundred nineteen million, four hundred forty-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 59 64 118 236 472 587 944 1174 1888 2348 3776 4696 9392 18784 34633 37568 69266 72871 138532 145742 277064 291484 554128 582968 1108256 1165936 2216512 2331872 4299389 4663744 8598778 17197556 34395112 42775277 68790224 85550554 137580448 171101108 275160896 342202216 684404432 1368808864 2523741343 2737617728 5047482686 10094965372 20189930744 40379861488 80759722976 161519445952