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149708667456 = 2632259910881
BaseRepresentation
bin1000101101101101010…
…1001111101001000000
3112022102110021021202100
42023123111033221000
54423100404324311
6152435240150400
713546630451145
oct2133325175100
9468373237670
10149708667456
1158544704757
1225021168400
131116b0c783a
147362bd63cc
153d63233a56
hex22db54fa40

149708667456 has 42 divisors (see below), whose sum is σ = 429112866182. Its totient is φ = 49902888960.

The previous prime is 149708667439. The next prime is 149708667457. The reversal of 149708667456 is 654766807941.

It is a happy number.

149708667456 is a `hidden beast` number, since 1 + 49 + 7 + 0 + 86 + 67 + 456 = 666.

149708667456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 109836565056 + 39872102400 = 331416^2 + 199680^2 .

It is a super-2 number, since 2×1497086674562 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 149708667393 and 149708667402.

It is not an unprimeable number, because it can be changed into a prime (149708667457) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 129954865 + ... + 129956016.

Almost surely, 2149708667456 is an apocalyptic number.

149708667456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

149708667456 is an abundant number, since it is smaller than the sum of its proper divisors (279404198726).

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

149708667456 is a wasteful number, since it uses less digits than its factorization.

149708667456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259910899 (or 259910886 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 149708667456 in words is "one hundred forty-nine billion, seven hundred eight million, six hundred sixty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 259910881 519821762 779732643 1039643524 1559465286 2079287048 2339197929 3118930572 4158574096 4678395858 6237861144 8317148192 9356791716 12475722288 16634296384 18713583432 24951444576 37427166864 49902889152 74854333728 149708667456