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61230883364001 = 331310313916277489
BaseRepresentation
bin11011110110000011011010…
…00011010101110010100001
322000210121121112121001221000
431323001231003111302201
531011201322120122001
6334121025100422213
715616533241050531
oct1573015503256241
9260717545531830
1061230883364001
111856796541171a
126a4ab56b47969
13282208054b780
14111983a7354c1
15712b50c09a86
hex37b06d0d5ca1

61230883364001 has 128 divisors (see below), whose sum is σ = 99422715392000. Its totient is φ = 37018548523008.

The previous prime is 61230883363943. The next prime is 61230883364011. The reversal of 61230883364001 is 10046338803216.

61230883364001 is a `hidden beast` number, since 6 + 1 + 2 + 308 + 8 + 336 + 4 + 0 + 0 + 1 = 666.

61230883364001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 61230883364001 - 237 = 61093444410529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (61230883364011) 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 127 ways as a sum of consecutive naturals, for example, 8176105665 + ... + 8176113153.

It is an arithmetic number, because the mean of its divisors is an integer number (776739964000).

Almost surely, 261230883364001 is an apocalyptic number.

It is an amenable number.

61230883364001 is a deficient number, since it is larger than the sum of its proper divisors (38191832027999).

61230883364001 is a wasteful number, since it uses less digits than its factorization.

61230883364001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9380 (or 9374 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 61230883364001 in words is "sixty-one trillion, two hundred thirty billion, eight hundred eighty-three million, three hundred sixty-four thousand, one".

Divisors: 1 3 9 13 27 39 103 117 139 309 351 417 927 1251 1339 1627 1807 2781 3753 4017 4881 5421 7489 12051 14317 14643 16263 21151 22467 36153 42951 43929 48789 63453 67401 97357 128853 167581 186121 190359 202203 226153 292071 386559 502743 558363 571077 678459 771367 876213 1040971 1508229 1675089 2035377 2178553 2314101 2628639 2939989 3122913 4524687 5025267 6106131 6535659 6942303 8819967 9368739 10027771 12184603 13532623 19606977 20826909 23293759 26459901 28106217 30083313 36553809 40597869 58820931 69881277 79379703 90249939 107220013 109661427 121793607 158399839 209643831 270749817 302818867 321660039 328984281 365380821 475199517 628931493 908456601 964980117 1255014109 1393860169 1425598551 1693659817 2725369803 2894940351 3765042327 4181580507 4276795653 5080979451 8176109409 11295126981 12544741521 15242938353 16315183417 22017577621 33885380943 37634224563 45728815059 48945550251 66052732863 146836650753 174446961151 198158198589 440509952259 523340883453 594474595767 1570022650359 2267810494963 4710067951077 6803431484889 20410294454667 61230883364001