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34231511557 = 19971011731063
BaseRepresentation
bin11111111000010110…
…110110101000000101
310021100122121221222101
4133320112312220011
51030101231332212
623420432032101
72321201022145
oct377026665005
9107318557871
1034231511557
1113576883321
126774092631
1332c6c54aa9
14192a424925
15d55380157
hex7f85b6a05

34231511557 has 32 divisors (see below), whose sum is σ = 37012389120. Its totient is φ = 31564339200.

The previous prime is 34231511543. The next prime is 34231511563. The reversal of 34231511557 is 75511513243.

It is a cyclic number.

It is not a de Polignac number, because 34231511557 - 231 = 32084027909 is a prime.

It is a super-3 number, since 3×342315115573 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34231511527) 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 31 ways as a sum of consecutive naturals, for example, 32202208 + ... + 32203270.

It is an arithmetic number, because the mean of its divisors is an integer number (1156637160).

Almost surely, 234231511557 is an apocalyptic number.

It is an amenable number.

34231511557 is a deficient number, since it is larger than the sum of its proper divisors (2780877563).

34231511557 is a wasteful number, since it uses less digits than its factorization.

34231511557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453.

The product of its digits is 63000, while the sum is 37.

The spelling of 34231511557 in words is "thirty-four billion, two hundred thirty-one million, five hundred eleven thousand, five hundred fifty-seven".

Divisors: 1 19 97 101 173 1063 1843 1919 3287 9797 16781 17473 20197 103111 107363 183899 186143 318839 331987 1694881 1959109 2039897 3494081 10414211 17838203 18573799 32202739 197870009 338925857 352902181 1801658503 34231511557