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38436931152 = 2432266923133
BaseRepresentation
bin100011110011000001…
…010000011001010000
310200012201212102010200
4203303001100121100
51112204323244102
625354020455200
72530334344524
oct436301203120
9120181772120
1038436931152
1115334711304
12754854a500
1338172aa559
141c08b6bd84
15eee68051c
hex8f3050650

38436931152 has 30 divisors (see below), whose sum is σ = 107570023002. Its totient is φ = 12812310336.

The previous prime is 38436931121. The next prime is 38436931187. The reversal of 38436931152 is 25113963483.

38436931152 is a `hidden beast` number, since 38 + 436 + 9 + 31 + 152 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30080046096 + 8356885056 = 173436^2 + 91416^2 .

It is a junction number, because it is equal to n+sod(n) for n = 38436931098 and 38436931107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 133461423 + ... + 133461710.

Almost surely, 238436931152 is an apocalyptic number.

It is an amenable number.

38436931152 is an abundant number, since it is smaller than the sum of its proper divisors (69133091850).

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

38436931152 is a wasteful number, since it uses less digits than its factorization.

38436931152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266923147 (or 266923138 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 38436931152 in words is "thirty-eight billion, four hundred thirty-six million, nine hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 266923133 533846266 800769399 1067692532 1601538798 2135385064 2402308197 3203077596 4270770128 4804616394 6406155192 9609232788 12812310384 19218465576 38436931152