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30127645504 = 2611149928549
BaseRepresentation
bin11100000011101111…
…110110001101000000
32212202122110222002101
4130003233312031000
5443200134124004
621501312000144
72114406522115
oct340357661500
985678428071
1030127645504
11118602a7a90
125a09830054
132ac1967c98
14165b39490c
15bb4e3eba4
hex703bf6340

30127645504 has 56 divisors (see below), whose sum is σ = 65265300000. Its totient is φ = 13684769280.

The previous prime is 30127645441. The next prime is 30127645549. The reversal of 30127645504 is 40554672103.

It is a super-2 number, since 2×301276455042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1041022 + ... + 1069570.

Almost surely, 230127645504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30127645504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32632650000).

30127645504 is an abundant number, since it is smaller than the sum of its proper divisors (35137654496).

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

30127645504 is a wasteful number, since it uses less digits than its factorization.

30127645504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30071 (or 30061 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The spelling of 30127645504 in words is "thirty billion, one hundred twenty-seven million, six hundred forty-five thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 1499 2998 5996 11992 16489 23984 28549 32978 47968 57098 65956 95936 114196 131912 228392 263824 314039 456784 527648 628078 913568 1055296 1256156 1827136 2512312 5024624 10049248 20098496 42794951 85589902 171179804 342359608 470744461 684719216 941488922 1369438432 1882977844 2738876864 3765955688 7531911376 15063822752 30127645504