Search a number
-
+
13088188292193 = 327563693685519
BaseRepresentation
bin1011111001110101010011…
…0100000101110001100001
31201100012220100022221111200
42332131110310011301201
53203414102200322233
643500344121431413
72520406335616110
oct276352464056141
951305810287450
1013088188292193
11419674009aa03
1215746b393b569
1373c29834b631
1433368647dc77
1517a6c1946313
hexbe754d05c61

13088188292193 has 24 divisors (see below), whose sum is σ = 21606287289600. Its totient is φ = 7478830030464.

The previous prime is 13088188292129. The next prime is 13088188292197. The reversal of 13088188292193 is 39129288188031.

13088188292193 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 81 + 88 + 292 + 193 = 666.

13088188292193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13088188292193 - 26 = 13088188292129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 13088188292193.

It is not an unprimeable number, because it can be changed into a prime (13088188292197) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1708488 + ... + 5394006.

It is an arithmetic number, because the mean of its divisors is an integer number (900261970400).

Almost surely, 213088188292193 is an apocalyptic number.

It is an amenable number.

13088188292193 is a deficient number, since it is larger than the sum of its proper divisors (8518098997407).

13088188292193 is a wasteful number, since it uses less digits than its factorization.

13088188292193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3741901 (or 3741898 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 63.

The spelling of 13088188292193 in words is "thirteen trillion, eighty-eight billion, one hundred eighty-eight million, two hundred ninety-two thousand, one hundred ninety-three".

Divisors: 1 3 7 9 21 63 56369 169107 394583 507321 1183749 3551247 3685519 11056557 25798633 33169671 77395899 232187697 207749020511 623247061533 1454243143577 1869741184599 4362729430731 13088188292193