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385469623044 = 22321122324092
BaseRepresentation
bin1011001101111111100…
…01111010101100000100
31100211222001002202000100
411212333301322230010
522303420210414134
6453025435444100
736564203506662
oct5467761725404
91324861082010
10385469623044
1113952760a100
1262858bb6630
132a47119c95c
141492a4a7c32
15a060e4b999
hex59bfc7ab04

385469623044 has 243 divisors, whose sum is σ = 1122348987669. Its totient is φ = 111457146240.

The previous prime is 385469623031. The next prime is 385469623051. The reversal of 385469623044 is 440326964583.

The square root of 385469623044 is 620862.

It is a perfect power (a square), and thus also a powerful number.

385469623044 is a `hidden beast` number, since 3 + 8 + 5 + 4 + 6 + 9 + 623 + 0 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 352287357444 + 33182265600 = 593538^2 + 182160^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 942468312 + ... + 942468720.

Almost surely, 2385469623044 is an apocalyptic number.

385469623044 is the 620862-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385469623044

385469623044 is an abundant number, since it is smaller than the sum of its proper divisors (736879364625).

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

385469623044 is a wasteful number, since it uses less digits than its factorization.

385469623044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 385469623044 in words is "three hundred eighty-five billion, four hundred sixty-nine million, six hundred twenty-three thousand, forty-four".