Search a number
-
+
39958899885993 = 31122937102590507
BaseRepresentation
bin10010001010111101010000…
…00010001000011110101001
312020111000220102210220002210
421011132220002020132221
520214141311332322433
6220552510514115333
711262635534613324
oct1105365002103651
9166430812726083
1039958899885993
1111806524294100
12459437687bb49
13193b15362468a
149c2041b7d7bb
1549465187a463
hex2457a80887a9

39958899885993 has 48 divisors (see below), whose sum is σ = 62219091291840. Its totient is φ = 22750470610560.

The previous prime is 39958899885941. The next prime is 39958899885997.

39958899885993 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 39958899885993 - 29 = 39958899885481 is a prime.

It is a super-2 number, since 2×399588998859932 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (39958899885997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50905755 + ... + 51684752.

It is an arithmetic number, because the mean of its divisors is an integer number (1296231068580).

Almost surely, 239958899885993 is an apocalyptic number.

39958899885993 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

39958899885993 is a deficient number, since it is larger than the sum of its proper divisors (22260191405847).

39958899885993 is a wasteful number, since it uses less digits than its factorization.

39958899885993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102590598 (or 102590587 counting only the distinct ones).

The product of its digits is 489776025600, while the sum is 102.

It can be divided in two parts, 3995 and 8899885993, that added together give a palindrome (8899889988).

The spelling of 39958899885993 in words is "thirty-nine trillion, nine hundred fifty-eight billion, eight hundred ninety-nine million, eight hundred eighty-five thousand, nine hundred ninety-three".

Divisors: 1 3 11 29 33 37 87 111 121 319 363 407 957 1073 1221 3219 3509 4477 10527 11803 13431 35409 129833 389499 102590507 307771521 1128495577 2975124703 3385486731 3795848759 8925374109 11387546277 12413451347 32726371733 37240354041 41754336349 98179115199 110079614011 125263009047 330238842033 359990089063 459297699839 1079970267189 1210875754121 1377893099517 3632627262363 13319633295331 39958899885993