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38538537741 = 321113125111839
BaseRepresentation
bin100011111001000100…
…110110101100001101
310200110211001120011200
4203321010312230031
51112411331201431
625412050340113
72533010110614
oct437104665415
9120424046150
1038538537741
1115386aaa8a0
12757658a639
1338323643b2
141c1845a87b
151008550ee6
hex8f9136b0d

38538537741 has 48 divisors (see below), whose sum is σ = 61439938560. Its totient is φ = 23084100000.

The previous prime is 38538537707. The next prime is 38538537743. The reversal of 38538537741 is 14773583583.

It is a happy number.

38538537741 is a `hidden beast` number, since 3 + 8 + 5 + 38 + 537 + 74 + 1 = 666.

38538537741 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-38538537741 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38538537743) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3249300 + ... + 3261138.

It is an arithmetic number, because the mean of its divisors is an integer number (1279998720).

Almost surely, 238538537741 is an apocalyptic number.

It is an amenable number.

38538537741 is a deficient number, since it is larger than the sum of its proper divisors (22901400819).

38538537741 is a wasteful number, since it uses less digits than its factorization.

38538537741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12238 (or 12235 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 38538537741 in words is "thirty-eight billion, five hundred thirty-eight million, five hundred thirty-seven thousand, seven hundred forty-one".

Divisors: 1 3 9 11 33 99 131 251 393 753 1179 1441 2259 2761 4323 8283 11839 12969 24849 32881 35517 98643 106551 130229 295929 361691 390687 1085073 1172061 1550909 2971589 3255219 4652727 8914767 13958181 17059999 26744301 32687479 51179997 98062437 153539991 294187311 389278159 1167834477 3503503431 4282059749 12846179247 38538537741