Search a number
-
+
136404635187051 = 32711196832085407
BaseRepresentation
bin11111000000111100101101…
…110100110111011101101011
3122212222011012120001002221100
4133000330231310313131223
5120334323143101441201
61202035231353212443
740505624006440560
oct3700745564673553
9585864176032840
10136404635187051
113a50a976557680
1213370170401123
135b15b9564053a
14259803b9aa867
1510b82e6d1d886
hex7c0f2dd3776b

136404635187051 has 24 divisors (see below), whose sum is σ = 245646442589184. Its totient is φ = 70859550746160.

The previous prime is 136404635186987. The next prime is 136404635187091. The reversal of 136404635187051 is 150781536404631.

136404635187051 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 0 + 4 + 6 + 3 + 518 + 70 + 51 = 666.

It is not a de Polignac number, because 136404635187051 - 26 = 136404635186987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (136404635187091) 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 23 ways as a sum of consecutive naturals, for example, 98416042011 + ... + 98416043396.

It is an arithmetic number, because the mean of its divisors is an integer number (10235268441216).

Almost surely, 2136404635187051 is an apocalyptic number.

136404635187051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

136404635187051 is a deficient number, since it is larger than the sum of its proper divisors (109241807402133).

136404635187051 is a wasteful number, since it uses less digits than its factorization.

136404635187051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196832085431 (or 196832085428 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 136404635187051 in words is "one hundred thirty-six trillion, four hundred four billion, six hundred thirty-five million, one hundred eighty-seven thousand, fifty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 196832085407 590496256221 1377824597849 1771488768663 2165152939477 4133473793547 6495458818431 12400421380641 15156070576339 19486376455293 45468211729017 136404635187051