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135602041644 = 223214092673331
BaseRepresentation
bin111111001001010000…
…0101111001100101100
3110222000100011110001200
41332102200233030230
54210203110313034
6142143354205500
712540226223166
oct1762240571454
9428010143050
10135602041644
11525658a9a13
1222344a23890
13ca30695384
1467c54c5936
1537d9a8ca99
hex1f9282f32c

135602041644 has 36 divisors (see below), whose sum is σ = 343015228920. Its totient is φ = 45168583680.

The previous prime is 135602041639. The next prime is 135602041649. The reversal of 135602041644 is 446140206531.

135602041644 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 0 + 2 + 0 + 4 + 1 + 644 = 666.

It is an interprime number because it is at equal distance from previous prime (135602041639) and next prime (135602041649).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1356020416442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 135602041599 and 135602041608.

It is not an unprimeable number, because it can be changed into a prime (135602041649) 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 11 ways as a sum of consecutive naturals, for example, 1285942 + ... + 1387389.

Almost surely, 2135602041644 is an apocalyptic number.

It is an amenable number.

135602041644 is an abundant number, since it is smaller than the sum of its proper divisors (207413187276).

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

135602041644 is a wasteful number, since it uses less digits than its factorization.

135602041644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674750 (or 2674745 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 135602041644 in words is "one hundred thirty-five billion, six hundred two million, forty-one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1409 2818 4227 5636 8454 12681 16908 25362 50724 2673331 5346662 8019993 10693324 16039986 24059979 32079972 48119958 96239916 3766723379 7533446758 11300170137 15066893516 22600340274 33900510411 45200680548 67801020822 135602041644