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3898038035970 = 236513194914409
BaseRepresentation
bin111000101110010101001…
…011000010011000000010
3111210122111222021021000000
4320232111023002120002
51002331140214122340
612142422311140430
7551424005420631
oct70562513023002
914718458237000
103898038035970
11127316a9389a1
1252b571074716
1322377799b540
14d69478c5518
156b5e48c2d30
hex38b952c2602

3898038035970 has 448 divisors, whose sum is σ = 11952379958400. Its totient is φ = 906959047680.

The previous prime is 3898038035939. The next prime is 3898038036017. The reversal of 3898038035970 is 795308308983.

3898038035970 is a `hidden beast` number, since 3 + 8 + 9 + 8 + 0 + 38 + 0 + 3 + 597 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3898038035898 and 3898038035907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 884107126 + ... + 884111534.

It is an arithmetic number, because the mean of its divisors is an integer number (26679419550).

Almost surely, 23898038035970 is an apocalyptic number.

3898038035970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3898038035970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5976189979200).

3898038035970 is an abundant number, since it is smaller than the sum of its proper divisors (8054341922430).

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

3898038035970 is a wasteful number, since it uses less digits than its factorization.

3898038035970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4957 (or 4942 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 3898038035970 in words is "three trillion, eight hundred ninety-eight billion, thirty-eight million, thirty-five thousand, nine hundred seventy".