Search a number
-
+
136411615253312 = 267734171098803
BaseRepresentation
bin11111000001000011001101…
…110111101101001101000000
3122212222211020000021012202222
4133001003031313231031000
5120334431442001101222
61202042344140230212
740506261664145150
oct3701031567551500
9585884200235688
10136411615253312
113a512928626783
1213371599b3b368
135b16738787269
142598500a18760
1510b85a49eb542
hex7c10cdded340

136411615253312 has 56 divisors (see below), whose sum is σ = 313599892479936. Its totient is φ = 57661269838848.

The previous prime is 136411615253311. The next prime is 136411615253377. The reversal of 136411615253312 is 213352516114631.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136411615253311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2085516698 + ... + 2085582105.

Almost surely, 2136411615253312 is an apocalyptic number.

It is an amenable number.

136411615253312 is an abundant number, since it is smaller than the sum of its proper divisors (177188277226624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

136411615253312 is an equidigital number, since it uses as much as digits as its factorization.

136411615253312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4171098895 (or 4171098885 counting only the distinct ones).

The product of its digits is 388800, while the sum is 44.

The spelling of 136411615253312 in words is "one hundred thirty-six trillion, four hundred eleven billion, six hundred fifteen million, two hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 146 224 292 448 511 584 1022 1168 2044 2336 4088 4672 8176 16352 32704 4171098803 8342197606 16684395212 29197691621 33368790424 58395383242 66737580848 116790766484 133475161696 233581532968 266950323392 304490212619 467163065936 608980425238 934326131872 1217960850476 1868652263744 2131431488333 2435921700952 4262862976666 4871843401904 8525725953332 9743686803808 17051451906664 19487373607616 34102903813328 68205807626656 136411615253312