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93963803401 = 13171973215497
BaseRepresentation
bin101011110000010101…
…1011101101100001001
322222112111110210011201
41113200223131230021
53014414213202101
6111055534224201
76534340102456
oct1274053355411
9288474423151
1093963803401
1136939132276
1216264355061
138b260ac390
14479550c82d
15269e351e01
hex15e0addb09

93963803401 has 16 divisors (see below), whose sum is σ = 107199049104. Its totient is φ = 81591957504.

The previous prime is 93963803399. The next prime is 93963803419. The reversal of 93963803401 is 10430836939.

It can be written as a sum of positive squares in 8 ways, for example, as 4709253376 + 89254550025 = 68624^2 + 298755^2 .

It is not a de Polignac number, because 93963803401 - 21 = 93963803399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (93963803471) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 328285 + ... + 543781.

It is an arithmetic number, because the mean of its divisors is an integer number (6699940569).

Almost surely, 293963803401 is an apocalyptic number.

It is an amenable number.

93963803401 is a deficient number, since it is larger than the sum of its proper divisors (13235245703).

93963803401 is a wasteful number, since it uses less digits than its factorization.

93963803401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217500.

The product of its (nonzero) digits is 419904, while the sum is 46.

The spelling of 93963803401 in words is "ninety-three billion, nine hundred sixty-three million, eight hundred three thousand, four hundred one".

Divisors: 1 13 17 221 1973 25649 33541 215497 436033 2801461 3663449 47624837 425175581 5527282553 7227984877 93963803401