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14748088680 = 233251341101761
BaseRepresentation
bin11011011110000110…
…11111100101101000
31102001211010112022200
431233003133211220
5220201002314210
610435234420200
71031320454043
oct155703374550
942054115280
1014748088680
116288a03346
122a37131660
1315105b76c0
149dc9abc5a
155b4b540c0
hex36f0df968

14748088680 has 384 divisors, whose sum is σ = 53471003040. Its totient is φ = 3502080000.

The previous prime is 14748088679. The next prime is 14748088711. The reversal of 14748088680 is 8688084741.

14748088680 is a `hidden beast` number, since 1 + 4 + 7 + 480 + 8 + 86 + 80 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 764080164 + 13984008516 = 27642^2 + 118254^2 .

It is a super-2 number, since 2×147480886802 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19379500 + ... + 19380260.

Almost surely, 214748088680 is an apocalyptic number.

14748088680 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 14748088680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26735501520).

14748088680 is an abundant number, since it is smaller than the sum of its proper divisors (38722914360).

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

14748088680 is a wasteful number, since it uses less digits than its factorization.

14748088680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 14748088680 in words is "fourteen billion, seven hundred forty-eight million, eighty-eight thousand, six hundred eighty".