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47904670542399 = 3112238296921319
BaseRepresentation
bin10101110010001101011001…
…10111101110101000111111
320021121122022212010012121220
422321012230313232220333
522234332231124324044
6245515033555124423
713042666252043166
oct1271065467565077
9207548285105556
1047904670542399
111429a290715900
1254582b52a3713
132096511197b38
14bb88541183dd
1558119c9c2019
hex2b91acdeea3f

47904670542399 has 48 divisors (see below), whose sum is σ = 73348273420800. Its totient is φ = 27737320311360.

The previous prime is 47904670542331. The next prime is 47904670542413. The reversal of 47904670542399 is 99324507640974.

It is a Cunningham number, because it is equal to 69213202-1.

It is not a de Polignac number, because 47904670542399 - 221 = 47904668445247 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47904670542329) 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, 3460662 + ... + 10381980.

It is an arithmetic number, because the mean of its divisors is an integer number (1528089029600).

Almost surely, 247904670542399 is an apocalyptic number.

47904670542399 is a deficient number, since it is larger than the sum of its proper divisors (25443602878401).

47904670542399 is a wasteful number, since it uses less digits than its factorization.

47904670542399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6922196 (or 6922185 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 69.

The spelling of 47904670542399 in words is "forty-seven trillion, nine hundred four billion, six hundred seventy million, five hundred forty-two thousand, three hundred ninety-nine".

Divisors: 1 3 11 23 33 69 121 253 363 759 829 2487 2783 8349 9119 19067 27357 57201 100309 209737 300927 629211 2307107 6921319 6921321 20763957 76134509 159190337 228403527 477571011 837479599 1751093707 2512438797 5253281121 5737773451 17213320353 19262030777 57786092331 63115507961 131968789373 189346523883 395906368119 694270587571 1451656683103 2082811762713 4354970049309 15968223514133 47904670542399