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135386973963 = 358318613607
BaseRepresentation
bin111111000010110110…
…0010100011100001011
3110221110100110212200000
41332011230110130023
54204233031131323
6142110152414043
712532005201543
oct1760554243413
9427410425600
10135386973963
115246546542a
12222a49a7323
13c9c7c639a7
1467a4b00323
1537c5c58e43
hex1f85b1470b

135386973963 has 48 divisors (see below), whose sum is σ = 205412503296. Its totient is φ = 89097913440.

The previous prime is 135386973959. The next prime is 135386974013. The reversal of 135386973963 is 369379683531.

It is a happy number.

135386973963 is a `hidden beast` number, since 1 + 3 + 538 + 6 + 9 + 7 + 3 + 96 + 3 = 666.

It is not a de Polignac number, because 135386973963 - 22 = 135386973959 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 135386973963.

It is not an unprimeable number, because it can be changed into a prime (135386973263) 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 47 ways as a sum of consecutive naturals, for example, 37532706 + ... + 37536312.

It is an arithmetic number, because the mean of its divisors is an integer number (4279427152).

Almost surely, 2135386973963 is an apocalyptic number.

135386973963 is a deficient number, since it is larger than the sum of its proper divisors (70025529333).

135386973963 is an equidigital number, since it uses as much as digits as its factorization.

135386973963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5566 (or 5554 counting only the distinct ones).

The product of its digits is 66134880, while the sum is 63.

The spelling of 135386973963 in words is "one hundred thirty-five billion, three hundred eighty-six million, nine hundred seventy-three thousand, nine hundred sixty-three".

Divisors: 1 3 9 27 81 83 243 249 747 1861 2241 3607 5583 6723 10821 16749 20169 32463 50247 97389 150741 154463 292167 299381 452223 463389 876501 898143 1390167 2694429 4170501 6712627 8083287 12511503 20137881 24249861 37534509 60413643 72749583 181240929 543722787 557148041 1631168361 1671444123 5014332369 15042997107 45128991321 135386973963