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348485121936 = 2435721829203
BaseRepresentation
bin1010001001000110101…
…01001111011110010000
31020022111112020102100000
411010203111033132100
521202144142400221
6424031501330000
734114533443100
oct5044325173620
91208445212300
10348485121936
11124878848006
1257656b66900
1326b28a9a383
1412c1c5b9200
1590e906ae26
hex512354f790

348485121936 has 180 divisors, whose sum is σ = 1176522062352. Its totient is φ = 99567123264.

The previous prime is 348485121917. The next prime is 348485121973. The reversal of 348485121936 is 639121584843.

It is a happy number.

348485121936 is a `hidden beast` number, since 3 + 4 + 8 + 485 + 121 + 9 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 724090 + ... + 1105113.

Almost surely, 2348485121936 is an apocalyptic number.

348485121936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

348485121936 is an abundant number, since it is smaller than the sum of its proper divisors (828036940416).

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

348485121936 is a wasteful number, since it uses less digits than its factorization.

348485121936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829240 (or 1829215 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 348485121936 in words is "three hundred forty-eight billion, four hundred eighty-five million, one hundred twenty-one thousand, nine hundred thirty-six".