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330897111552 = 2933743281283
BaseRepresentation
bin1001101000010110000…
…00010011101000000000
31011122002210021220211000
410310023000103220000
520410134130032202
6412002333252000
732622640016640
oct4641300235000
91148083256730
10330897111552
1111837287a537
1254168934000
1325285018737
1412030794520
158919e4391c
hex4d0b013a00

330897111552 has 640 divisors, whose sum is σ = 1153574737920. Its totient is φ = 91689615360.

The previous prime is 330897111547. The next prime is 330897111647. The reversal of 330897111552 is 255111798033.

330897111552 is a `hidden beast` number, since 3 + 3 + 0 + 8 + 97 + 1 + 1 + 1 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 330897111498 and 330897111507.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1169247603 + ... + 1169247885.

It is an arithmetic number, because the mean of its divisors is an integer number (1802460528).

Almost surely, 2330897111552 is an apocalyptic number.

330897111552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330897111552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576787368960).

330897111552 is an abundant number, since it is smaller than the sum of its proper divisors (822677626368).

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

330897111552 is a wasteful number, since it uses less digits than its factorization.

330897111552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 330897111552 in words is "three hundred thirty billion, eight hundred ninety-seven million, one hundred eleven thousand, five hundred fifty-two".