Search a number
-
+
30642085224702 = 23272946571800709
BaseRepresentation
bin1101111011110011010101…
…00110101110000011111110
311000111100120121022202000100
412331321222212232003332
513004014442304142302
6145100440221541530
76311550302633310
oct675715246560376
9130440517282010
1030642085224702
1198442652a9896
12352a7844148a6
1314136c8165883
1477d128b1d7b0
1538210e727d1c
hex1bde6a9ae0fe

30642085224702 has 96 divisors (see below), whose sum is σ = 78508939204800. Its totient is φ = 8451169219584.

The previous prime is 30642085224691. The next prime is 30642085224713. The reversal of 30642085224702 is 20742258024603.

30642085224702 is a `hidden beast` number, since 3 + 0 + 64 + 20 + 8 + 522 + 47 + 0 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (30642085224691) and next prime (30642085224713).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16116324 + ... + 17917032.

It is an arithmetic number, because the mean of its divisors is an integer number (817801450050).

Almost surely, 230642085224702 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30642085224702, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39254469602400).

30642085224702 is an abundant number, since it is smaller than the sum of its proper divisors (47866853980098).

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

30642085224702 is a wasteful number, since it uses less digits than its factorization.

30642085224702 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805410 (or 1805407 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 30642085224702 in words is "thirty trillion, six hundred forty-two billion, eighty-five million, two hundred twenty-four thousand, seven hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 522 609 1218 1827 3654 4657 9314 13971 27942 32599 41913 65198 83826 97797 135053 195594 270106 293391 405159 586782 810318 945371 1215477 1800709 1890742 2430954 2836113 3601418 5402127 5672226 8508339 10804254 12604963 16206381 17016678 25209926 32412762 37814889 52220561 75629778 104441122 113444667 156661683 226889334 313323366 365543927 469985049 731087854 939970098 1096631781 2193263562 3289895343 6579790686 8385901813 16771803626 25157705439 50315410878 58701312691 75473116317 117402625382 150946232634 176103938073 243191152577 352207876146 486382305154 528311814219 729573457731 1056623628438 1459146915462 1702338068039 2188720373193 3404676136078 4377440746386 5107014204117 10214028408234 15321042612351 30642085224702