Search a number
-
+
13188086415029 = 2341100091397267
BaseRepresentation
bin1011111111101001011100…
…1101001011111010110101
31201200202202102021101120002
42333322113031023322311
53212033200110240104
644014305005121045
72530544034633461
oct277722715137265
951622672241502
1013188086415029
114225043a721a9
12158bb33559185
13748828a0b016
14338441b814a1
1517d0bbc5a01e
hexbfe9734beb5

13188086415029 has 16 divisors (see below), whose sum is σ = 14098545901440. Its totient is φ = 12305777552640.

The previous prime is 13188086415019. The next prime is 13188086415043. The reversal of 13188086415029 is 92051468088131.

It is a cyclic number.

It is not a de Polignac number, because 13188086415029 - 220 = 13188085366453 is a prime.

It is a super-2 number, since 2×131880864150292 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13188086415019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8739854 + ... + 10137120.

It is an arithmetic number, because the mean of its divisors is an integer number (881159118840).

Almost surely, 213188086415029 is an apocalyptic number.

It is an amenable number.

13188086415029 is a deficient number, since it is larger than the sum of its proper divisors (910459486411).

13188086415029 is a wasteful number, since it uses less digits than its factorization.

13188086415029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407340.

The product of its (nonzero) digits is 3317760, while the sum is 56.

The spelling of 13188086415029 in words is "thirteen trillion, one hundred eighty-eight billion, eighty-six million, four hundred fifteen thousand, twenty-nine".

Divisors: 1 23 41 943 10009 230207 410369 1397267 9438487 32137141 57287947 1317622781 13985245403 321660644269 573395061523 13188086415029