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80379670251841 = 6721338132
BaseRepresentation
bin10010010001101011011001…
…101100010100100101000001
3101112121012222102102011221021
4102101223121230110211001
541013420031041024331
6442541524415425441
722634145106035502
oct2221533154244501
9345535872364837
1080379670251841
112367a9103aa884
129022150b25281
1335b0a026b067c
1415bc57ab56ba9
15945cd667d211
hex491ad9b14941

80379670251841 has 9 divisors (see below), whose sum is σ = 81597882532131. Its totient is φ = 79179381959832.

The previous prime is 80379670251809. The next prime is 80379670251847. The reversal of 80379670251841 is 14815207697308.

The square root of 80379670251841 is 8965471.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2858618655025 + 77521051596816 = 1690745^2 + 8804604^2 .

It is not a de Polignac number, because 80379670251841 - 25 = 80379670251809 is a prime.

It is a super-3 number, since 3×803796702518413 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 80379670251841.

It is not an unprimeable number, because it can be changed into a prime (80379670251847) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 600619651 + ... + 600753463.

It is an arithmetic number, because the mean of its divisors is an integer number (9066431392459).

It is a 2-persistent number, because it is pandigital, and so is 2⋅80379670251841 = 160759340503682, but 3⋅80379670251841 = 241139010755523 is not.

Almost surely, 280379670251841 is an apocalyptic number.

80379670251841 is the 8965471-st square number.

80379670251841 is the 4482736-th centered octagonal number.

It is an amenable number.

80379670251841 is a deficient number, since it is larger than the sum of its proper divisors (1218212280290).

80379670251841 is an frugal number, since it uses more digits than its factorization.

80379670251841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267760 (or 133880 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 61.

The spelling of 80379670251841 in words is "eighty trillion, three hundred seventy-nine billion, six hundred seventy million, two hundred fifty-one thousand, eight hundred forty-one".

Divisors: 1 67 4489 133813 8965471 600686557 17905918969 1199696570923 80379670251841