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390479974093 = 115373137193347
BaseRepresentation
bin1011010111010100110…
…10111000111011001101
31101022220012221221112201
411223222122320323031
522344200333132333
6455214541001501
740132313005306
oct5535232707315
91338805857481
10390479974093
11140668846aa0
1263816b53291
132aa8c213b11
1414c83aa17ad
15a255c4a17d
hex5aea6b8ecd

390479974093 has 64 divisors (see below), whose sum is σ = 446752288512. Its totient is φ = 338261114880.

The previous prime is 390479974033. The next prime is 390479974103.

390479974093 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 390479974093 - 29 = 390479973581 is a prime.

It is a super-2 number, since 2×3904799740932 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390479974033) 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 63 ways as a sum of consecutive naturals, for example, 1125302346 + ... + 1125302692.

It is an arithmetic number, because the mean of its divisors is an integer number (6980504508).

Almost surely, 2390479974093 is an apocalyptic number.

It is an amenable number.

390479974093 is a deficient number, since it is larger than the sum of its proper divisors (56272314419).

390479974093 is a wasteful number, since it uses less digits than its factorization.

390479974093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814.

The product of its (nonzero) digits is 46294416, while the sum is 64.

It can be divided in two parts, 3904 and 79974093, that added together give a palindrome (79977997).

The spelling of 390479974093 in words is "three hundred ninety billion, four hundred seventy-nine million, nine hundred seventy-four thousand, ninety-three".

Divisors: 1 11 53 73 137 193 347 583 803 1507 2123 3817 3869 7261 10001 10229 14089 18391 25331 26441 42559 47539 66971 79871 110011 112519 154979 202301 278641 290851 522929 530053 736681 746717 1342543 1401373 1930193 2519567 3470347 3549463 4888883 5830583 8213887 9175027 14767973 15415103 21232123 27715237 38173817 39044093 53777713 100925297 102300229 183928391 259110799 486276431 669776971 1125302519 2023212301 2850218789 5349040741 7367546681 35498179463 390479974093