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10347407807148 = 2232287427994643
BaseRepresentation
bin1001011010010011000110…
…0100010001001010101100
31100122012110122022102002200
42112210301210101022230
52324012442344312043
634001311124021500
72115401261106066
oct226446144211254
940565418272080
1010347407807148
11332a346a50525
1211b1491b31890
135a09aa988609
1427ab625d2736
1512e25e6097d3
hex969319112ac

10347407807148 has 18 divisors (see below), whose sum is σ = 26155947512604. Its totient is φ = 3449135935704.

The previous prime is 10347407807147. The next prime is 10347407807153. The reversal of 10347407807148 is 84170870474301.

10347407807148 is a `hidden beast` number, since 10 + 3 + 4 + 7 + 407 + 80 + 7 + 148 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 10347407807094 and 10347407807103.

It is not an unprimeable number, because it can be changed into a prime (10347407807147) 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, 143713997286 + ... + 143713997357.

Almost surely, 210347407807148 is an apocalyptic number.

10347407807148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10347407807148 is an abundant number, since it is smaller than the sum of its proper divisors (15808539705456).

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

10347407807148 is a wasteful number, since it uses less digits than its factorization.

10347407807148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287427994653 (or 287427994648 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 10347407807148 in words is "ten trillion, three hundred forty-seven billion, four hundred seven million, eight hundred seven thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 287427994643 574855989286 862283983929 1149711978572 1724567967858 2586851951787 3449135935716 5173703903574 10347407807148