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3906331973901 = 3271915832061551
BaseRepresentation
bin111000110110000011100…
…001111001100100001101
3111211102220222202221221100
4320312003201321210031
51003000131441131101
612150313311053313
7552136355631660
oct70660341714415
914742828687840
103906331973901
11127673661a255
125310a6811239
1322449a099116
14d70d32256d7
156b92cad0e86
hex38d8387990d

3906331973901 has 48 divisors (see below), whose sum is σ = 6792236605440. Its totient is φ = 2113369120800.

The previous prime is 3906331973827. The next prime is 3906331973917. The reversal of 3906331973901 is 1093791336093.

3906331973901 is a `hidden beast` number, since 3 + 9 + 0 + 63 + 3 + 197 + 390 + 1 = 666.

It is not a de Polignac number, because 3906331973901 - 211 = 3906331971853 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3906331972901) 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, 864076 + ... + 2925626.

It is an arithmetic number, because the mean of its divisors is an integer number (141504929280).

Almost surely, 23906331973901 is an apocalyptic number.

It is an amenable number.

3906331973901 is a deficient number, since it is larger than the sum of its proper divisors (2885904631539).

3906331973901 is a wasteful number, since it uses less digits than its factorization.

3906331973901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063166 (or 2063163 counting only the distinct ones).

The product of its (nonzero) digits is 2480058, while the sum is 54.

It can be divided in two parts, 39063 and 31973901, that added together give a square (32012964 = 56582).

The spelling of 3906331973901 in words is "three trillion, nine hundred six billion, three hundred thirty-one million, nine hundred seventy-three thousand, nine hundred one".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 1197 1583 4749 11081 14247 30077 33243 90231 99729 210539 270693 631617 1894851 2061551 6184653 14430857 18553959 39169469 43292571 117508407 129877713 274186283 352525221 822558849 2467676547 3263435233 9790305699 22844046631 29370917097 62005269427 68532139893 186015808281 205596419679 434036885989 558047424843 1302110657967 3906331973901