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930985052985 = 3251319714432663
BaseRepresentation
bin11011000110000110000…
…10001000101100111001
310022000000221121212021100
431203003002020230321
5110223124133143420
61551404424402013
7124155451244661
oct15430302105471
93260027555240
10930985052985
113299128787a9
12130521016309
1369a39c56ba0
14330ba5ab1a1
151933c883190
hexd8c3088b39

930985052985 has 192 divisors, whose sum is σ = 1859954503680. Its totient is φ = 426966059520.

The previous prime is 930985052953. The next prime is 930985053007. The reversal of 930985052985 is 589250589039.

930985052985 is a `hidden beast` number, since 9 + 30 + 9 + 8 + 505 + 2 + 98 + 5 = 666.

It is not a de Polignac number, because 930985052985 - 25 = 930985052953 is a prime.

It is a Curzon number.

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 191 ways as a sum of consecutive naturals, for example, 349598764 + ... + 349601426.

It is an arithmetic number, because the mean of its divisors is an integer number (9687263040).

Almost surely, 2930985052985 is an apocalyptic number.

930985052985 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

930985052985 is a deficient number, since it is larger than the sum of its proper divisors (928969450695).

930985052985 is a wasteful number, since it uses less digits than its factorization.

930985052985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3220 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 63.

The spelling of 930985052985 in words is "nine hundred thirty billion, nine hundred eighty-five million, fifty-two thousand, nine hundred eighty-five".