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163390279680 = 2123351931531
BaseRepresentation
bin1001100000101011010…
…0011101000000000000
3120121201221122012102000
42120022310131000000
510134110402422210
6203021020424000
714542651314345
oct2301264350000
9517657565360
10163390279680
116332560a4a1
12277bb0a8000
131253b76b284
147c9dcb07cc
1543b4424ac0
hex260ad1d000

163390279680 has 416 divisors, whose sum is σ = 584263374720. Its totient is φ = 43316674560.

The previous prime is 163390279667. The next prime is 163390279687. The reversal of 163390279680 is 86972093361.

163390279680 is a `hidden beast` number, since 163 + 390 + 2 + 7 + 96 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163390279687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106720515 + ... + 106722045.

Almost surely, 2163390279680 is an apocalyptic number.

163390279680 is a gapful number since it is divisible by the number (10) 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 163390279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292131687360).

163390279680 is an abundant number, since it is smaller than the sum of its proper divisors (420873095040).

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

163390279680 is a wasteful number, since it uses less digits than its factorization.

163390279680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 163390279680 in words is "one hundred sixty-three billion, three hundred ninety million, two hundred seventy-nine thousand, six hundred eighty".