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330770117952 = 2632839771327
BaseRepresentation
bin1001101000000110110…
…11110111010101000000
31011121202221022222100100
410310003123313111000
520404404122233302
6411541555322400
732616535420131
oct4640333672500
91147687288310
10330770117952
1111830812134a
12541322b0400
13252649134b1
141201b977c88
15890dc0ad1c
hex4d036f7540

330770117952 has 168 divisors, whose sum is σ = 969421130496. Its totient is φ = 107803828224.

The previous prime is 330770117941. The next prime is 330770117957. The reversal of 330770117952 is 259711077033.

It is a junction number, because it is equal to n+sod(n) for n = 330770117898 and 330770117907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330770117957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4601713 + ... + 4673039.

It is an arithmetic number, because the mean of its divisors is an integer number (5770363872).

Almost surely, 2330770117952 is an apocalyptic number.

330770117952 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 330770117952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484710565248).

330770117952 is an abundant number, since it is smaller than the sum of its proper divisors (638651012544).

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

330770117952 is a wasteful number, since it uses less digits than its factorization.

330770117952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71525 (or 71512 counting only the distinct ones).

The product of its (nonzero) digits is 277830, while the sum is 45.

The spelling of 330770117952 in words is "three hundred thirty billion, seven hundred seventy million, one hundred seventeen thousand, nine hundred fifty-two".