Search a number
-
+
30257121723675 = 3527211839017777
BaseRepresentation
bin1101110000100110010001…
…11111100000010100011011
310222010112220211120122212220
412320103020333200110123
512431213041130124200
6144203532502035123
76242001453105600
oct670231077402433
9128115824518786
1030257121723675
119705a78458750
123488048a18aa3
1313b6307ab2702
147686499626a7
153770cce534a0
hex1b84c8fe051b

30257121723675 has 144 divisors (see below), whose sum is σ = 64247556143232. Its totient is φ = 12422888217600.

The previous prime is 30257121723613. The next prime is 30257121723679. The reversal of 30257121723675 is 57632712175203.

It is not a de Polignac number, because 30257121723675 - 216 = 30257121658139 is a prime.

It is not an unprimeable number, because it can be changed into a prime (30257121723679) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1153614 + ... + 7864163.

It is an arithmetic number, because the mean of its divisors is an integer number (446163584328).

Almost surely, 230257121723675 is an apocalyptic number.

30257121723675 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

30257121723675 is an abundant number, since it is smaller than the sum of its proper divisors (33990434419557).

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

30257121723675 is a wasteful number, since it uses less digits than its factorization.

30257121723675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9017898 (or 9017886 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 51.

Adding to 30257121723675 its reverse (57632712175203), we get a palindrome (87889833898878).

The spelling of 30257121723675 in words is "thirty trillion, two hundred fifty-seven billion, one hundred twenty-one million, seven hundred twenty-three thousand, six hundred seventy-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 49 55 75 77 83 105 147 165 175 231 245 249 275 385 415 525 539 581 735 825 913 1155 1225 1245 1617 1743 1925 2075 2695 2739 2905 3675 4067 4565 5775 6225 6391 8085 8715 12201 13475 13695 14525 19173 20335 22825 31955 40425 43575 44737 61005 68475 95865 101675 134211 159775 223685 305025 479325 671055 1118425 3355275 9017777 27053331 45088885 63124439 99195547 135266655 189373317 225444425 297586641 315622195 441871073 495977735 676333275 694368829 748475491 946866585 1325613219 1487933205 1578110975 2083106487 2209355365 2245426473 2479888675 3471844145 3742377455 4734332925 4860581803 5239328437 6628066095 7439666025 8233230401 10415532435 11046776825 11227132365 14581745409 15717985311 17359220725 18711887275 24302909015 24699691203 26196642185 33140330475 36675299059 41166152005 52077662175 56135661825 57632612807 72908727045 78589926555 110025897177 121514545075 123498456015 130983210925 172897838421 183376495295 205830760025 288163064035 364543635225 392949632775 403428289649 550129485885 617492280075 864489192105 916882476475 1210284868947 1440815320175 2017141448245 2750647429425 4322445960525 6051424344735 10085707241225 30257121723675