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977130273001 = 172581472
BaseRepresentation
bin11100011100000011000…
…00001011100011101001
310110102010212222220212011
432032001200023203221
5112002130322214001
62024515404515521
7130411125165061
oct16160140134351
93412125886764
10977130273001
11347442624573
1213945ab4bba1
13711b21bc4bc
1435416d8a3a1
151a63dadad51
hexe38180b8e9

977130273001 has 9 divisors (see below), whose sum is σ = 1038007449399. Its totient is φ = 919636205664.

The previous prime is 977130272903. The next prime is 977130273019. The reversal of 977130273001 is 100372031779.

The square root of 977130273001 is 988499.

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., 760741562025 + 216388710976 = 872205^2 + 465176^2 .

It is not a de Polignac number, because 977130273001 - 229 = 976593402089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (977130273401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16775410 + ... + 16833556.

Almost surely, 2977130273001 is an apocalyptic number.

977130273001 is the 988499-th square number.

977130273001 is the 494250-th centered octagonal number.

It is an amenable number.

977130273001 is a deficient number, since it is larger than the sum of its proper divisors (60877176398).

977130273001 is an frugal number, since it uses more digits than its factorization.

977130273001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116328 (or 58164 counting only the distinct ones).

The product of its (nonzero) digits is 55566, while the sum is 40.

The spelling of 977130273001 in words is "nine hundred seventy-seven billion, one hundred thirty million, two hundred seventy-three thousand, one".

Divisors: 1 17 289 58147 988499 16804483 3381073609 57478251353 977130273001