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5824977423001 = 1122194092
BaseRepresentation
bin101010011000011101110…
…1101011100101010011001
3202121212021200200102101121
41110300323231130222121
51230414023210014001
620215542505445241
71140561241104322
oct124607355345231
922555250612347
105824977423001
1119463a4997900
127a0b051a0821
133333a69a0a79
14161d05099449
15a17c37266a1
hex54c3bb5ca99

5824977423001 has 9 divisors (see below), whose sum is σ = 6402690315903. Its totient is φ = 5295409885920.

The previous prime is 5824977422989. The next prime is 5824977423007. The reversal of 5824977423001 is 1003247794285.

The square root of 5824977423001 is 2413499.

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., 3929509325401 + 1895468097600 = 1982299^2 + 1376760^2 .

It is not a de Polignac number, because 5824977423001 - 211 = 5824977420953 is a prime.

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 5824977423001.

It is not an unprimeable number, because it can be changed into a prime (5824977423007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26438785 + ... + 26658193.

Almost surely, 25824977423001 is an apocalyptic number.

5824977423001 is the 2413499-th square number.

5824977423001 is the 1206750-th centered octagonal number.

It is an amenable number.

5824977423001 is a deficient number, since it is larger than the sum of its proper divisors (577712892902).

5824977423001 is an frugal number, since it uses more digits than its factorization.

5824977423001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438840 (or 219420 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 5824977423001 in words is "five trillion, eight hundred twenty-four billion, nine hundred seventy-seven million, four hundred twenty-three thousand, one".

Divisors: 1 11 121 219409 2413499 26548489 48140309281 529543402091 5824977423001