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34938027157 = 11231237111637
BaseRepresentation
bin100000100010011101…
…111111110010010101
310100011220001200011211
4200202131333302111
51033023113332112
624014511101421
72344540221325
oct404235776225
9110156050154
1034938027157
11138a9672a10
126930811871
1333aa435a67
1419961b7285
15d973dd0a7
hex82277fc95

34938027157 has 16 divisors (see below), whose sum is σ = 39803859072. Its totient is φ = 30356061120.

The previous prime is 34938027121. The next prime is 34938027181. The reversal of 34938027157 is 75172083943.

It is a de Polignac number, because none of the positive numbers 2k-34938027157 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34938027157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34938027197) 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 15 ways as a sum of consecutive naturals, for example, 257143 + ... + 368779.

It is an arithmetic number, because the mean of its divisors is an integer number (2487741192).

Almost surely, 234938027157 is an apocalyptic number.

It is an amenable number.

34938027157 is a deficient number, since it is larger than the sum of its proper divisors (4865831915).

34938027157 is a wasteful number, since it uses less digits than its factorization.

34938027157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112908.

The product of its (nonzero) digits is 1270080, while the sum is 49.

The spelling of 34938027157 in words is "thirty-four billion, nine hundred thirty-eight million, twenty-seven thousand, one hundred fifty-seven".

Divisors: 1 11 23 253 1237 13607 28451 111637 312961 1228007 2567651 28244161 138094969 1519044659 3176184287 34938027157