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47628572381 = 1337731379901
BaseRepresentation
bin101100010110111000…
…100101011011011101
311112221022120011111022
4230112320211123131
51240020403304011
633514045333525
73304165120415
oct542670453335
9145838504438
1047628572381
11192210a6415
1292928672a5
134650679310
14243b7cb645
15138b5b48db
hexb16e256dd

47628572381 has 32 divisors (see below), whose sum is σ = 53795427168. Its totient is φ = 41878425600.

The previous prime is 47628572363. The next prime is 47628572389. The reversal of 47628572381 is 18327582674.

It can be written as a sum of positive squares in 16 ways, for example, as 4239481 + 47624332900 = 2059^2 + 218230^2 .

It is a cyclic number.

It is not a de Polignac number, because 47628572381 - 26 = 47628572317 is a prime.

It is a super-2 number, since 2×476285723812 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47628572389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4805531 + ... + 4815431.

It is an arithmetic number, because the mean of its divisors is an integer number (1681107099).

Almost surely, 247628572381 is an apocalyptic number.

It is an amenable number.

47628572381 is a deficient number, since it is larger than the sum of its proper divisors (6166854787).

47628572381 is a wasteful number, since it uses less digits than its factorization.

47628572381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10161.

The product of its digits is 4515840, while the sum is 53.

The spelling of 47628572381 in words is "forty-seven billion, six hundred twenty-eight million, five hundred seventy-two thousand, three hundred eighty-one".

Divisors: 1 13 37 73 137 481 949 1781 2701 5069 9901 10001 35113 65897 128713 130013 366337 370037 722773 1356437 4762381 4810481 9396049 17633681 26742601 50188169 99019901 347653813 652446197 1287258713 3663736337 47628572381