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13740367072 = 252330760811
BaseRepresentation
bin11001100101111110…
…10101110011100000
31022110120220222011011
430302333111303200
5211120013221242
610151235430304
7664333123135
oct146277256340
938416828134
1013740367072
115911096173
1227b5755394
1313ac8a5a23
14944c1058c
15556449d17
hex332fd5ce0

13740367072 has 48 divisors (see below), whose sum is σ = 28319905152. Its totient is φ = 6549966720.

The previous prime is 13740367021. The next prime is 13740367099. The reversal of 13740367072 is 27076304731.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 195547 + ... + 256357.

It is an arithmetic number, because the mean of its divisors is an integer number (589998024).

Almost surely, 213740367072 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 13740367072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14159952576).

13740367072 is an abundant number, since it is smaller than the sum of its proper divisors (14579538080).

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

13740367072 is a wasteful number, since it uses less digits than its factorization.

13740367072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61151 (or 61143 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 40.

The spelling of 13740367072 in words is "thirteen billion, seven hundred forty million, three hundred sixty-seven thousand, seventy-two".

Divisors: 1 2 4 8 16 23 32 46 92 184 307 368 614 736 1228 2456 4912 7061 9824 14122 28244 56488 60811 112976 121622 225952 243244 486488 972976 1398653 1945952 2797306 5594612 11189224 18668977 22378448 37337954 44756896 74675908 149351816 298703632 429386471 597407264 858772942 1717545884 3435091768 6870183536 13740367072