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136269601466832 = 243219457541201451
BaseRepresentation
bin11110111110111110111101…
…001100000110100111010000
3122212111020122211021101022100
4132332332331030012213100
5120330120120433414312
61201453220220040400
740463103520654221
oct3676767514064720
9585436584241270
10136269601466832
113a468682539a99
1213349b65993100
135b06225931a42
1425916abb83248
1510b4a420e25dc
hex7befbd3069d0

136269601466832 has 240 divisors, whose sum is σ = 403061567696320. Its totient is φ = 42858761472000.

The previous prime is 136269601466827. The next prime is 136269601466833. The reversal of 136269601466832 is 238664106962631.

136269601466832 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 6 + 96 + 0 + 1 + 466 + 83 + 2 = 666.

It is a super-2 number, since 2×1362696014668322 (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 136269601466832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136269601466833) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 676339707 + ... + 676541157.

Almost surely, 2136269601466832 is an apocalyptic number.

136269601466832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136269601466832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201530783848160).

136269601466832 is an abundant number, since it is smaller than the sum of its proper divisors (266791966229488).

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

136269601466832 is a wasteful number, since it uses less digits than its factorization.

136269601466832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202482 (or 202473 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 136269601466832 in words is "one hundred thirty-six trillion, two hundred sixty-nine billion, six hundred one million, four hundred sixty-six thousand, eight hundred thirty-two".