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136006442456 = 23172117516311
BaseRepresentation
bin111111010101010011…
…1011001110111011000
3111000001112010010200112
41332222213121313120
54212020122124311
6142251442023452
712553236454253
oct1765247316730
9430045103615
10136006442456
1152753100265
1222438347b88
13ca963b7ab1
1468230b409a
15381032028b
hex1faa9d9dd8

136006442456 has 64 divisors (see below), whose sum is σ = 271696757760. Its totient is φ = 63604800000.

The previous prime is 136006442441. The next prime is 136006442459. The reversal of 136006442456 is 654244600631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136006442459) 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 15 ways as a sum of consecutive naturals, for example, 21547541 + ... + 21553851.

It is an arithmetic number, because the mean of its divisors is an integer number (4245261840).

Almost surely, 2136006442456 is an apocalyptic number.

It is an amenable number.

136006442456 is a deficient number, since it is larger than the sum of its proper divisors (135690315304).

136006442456 is a wasteful number, since it uses less digits than its factorization.

136006442456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7296 (or 7292 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 41.

The spelling of 136006442456 in words is "one hundred thirty-six billion, six million, four hundred forty-two thousand, four hundred fifty-six".

Divisors: 1 2 4 8 17 34 68 136 211 422 751 844 1502 1688 3004 3587 6008 6311 7174 12622 12767 14348 25244 25534 28696 50488 51068 102136 107287 158461 214574 316922 429148 633844 858296 1267688 1331621 2663242 2693837 4739561 5326484 5387674 9479122 10652968 10775348 18958244 21550696 22637557 37916488 45275114 80572537 90550228 161145074 181100456 322290148 644580296 1000047371 2000094742 4000189484 8000378968 17000805307 34001610614 68003221228 136006442456