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34830925039152 = 2432111910111458687
BaseRepresentation
bin1111110101101101101001…
…11010100000011000110000
311120022210201001102221221100
413322312310322200120300
514031132213302223102
6202025034524324400
710223310535606344
oct772666472403060
9146283631387840
1034830925039152
1110109792165010
123aa65723a3700
1316587080cba88
14885b7bc93624
15406073ec5a1c
hex1fadb4ea0630

34830925039152 has 240 divisors, whose sum is σ = 113044998942720. Its totient is φ = 9900304704000.

The previous prime is 34830925039147. The next prime is 34830925039217. The reversal of 34830925039152 is 25193052903843.

34830925039152 is a `hidden beast` number, since 3 + 4 + 8 + 30 + 92 + 503 + 9 + 15 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2689648 + ... + 8769039.

It is an arithmetic number, because the mean of its divisors is an integer number (471020828928).

Almost surely, 234830925039152 is an apocalyptic number.

It is an amenable number.

34830925039152 is an abundant number, since it is smaller than the sum of its proper divisors (78214073903568).

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

34830925039152 is a wasteful number, since it uses less digits than its factorization.

34830925039152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11458832 (or 11458823 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 34830925039152 in words is "thirty-four trillion, eight hundred thirty billion, nine hundred twenty-five million, thirty-nine thousand, one hundred fifty-two".