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14966270280 = 233251317313601
BaseRepresentation
bin11011111000000111…
…10010100101001000
31102122000200022012200
431330003302211020
5221122331122110
610513031040200
71036610125023
oct157403624510
942560608180
1014966270280
116390084415
122a98210060
131546869540
14a1d9641ba
155c8da06c0
hex37c0f2948

14966270280 has 384 divisors, whose sum is σ = 55733015520. Its totient is φ = 3450470400.

The previous prime is 14966270279. The next prime is 14966270287. The reversal of 14966270280 is 8207266941.

It is a happy number.

14966270280 is a `hidden beast` number, since 1 + 49 + 66 + 270 + 280 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 176305284 + 14789964996 = 13278^2 + 121614^2 .

It is a super-2 number, since 2×149662702802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (14966270287) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24901980 + ... + 24902580.

Almost surely, 214966270280 is an apocalyptic number.

14966270280 is a gapful number since it is divisible by the number (10) 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 14966270280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27866507760).

14966270280 is an abundant number, since it is smaller than the sum of its proper divisors (40766745240).

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

14966270280 is a wasteful number, since it uses less digits than its factorization.

14966270280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 14966270280 in words is "fourteen billion, nine hundred sixty-six million, two hundred seventy thousand, two hundred eighty".