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38074285728 = 2532132202381
BaseRepresentation
bin100011011101011001…
…110111111010100000
310122021110111010010200
4203131121313322200
51110434004120403
625254024025200
72515342042323
oct433531677240
9118243433120
1038074285728
1115168a3a446
127467002200
13378a11766b
141bb292c7ba
15ecc8e9ca3
hex8dd677ea0

38074285728 has 36 divisors (see below), whose sum is σ = 108273750858. Its totient is φ = 12691428480.

The previous prime is 38074285727. The next prime is 38074285729. The reversal of 38074285728 is 82758247083.

It is an interprime number because it is at equal distance from previous prime (38074285727) and next prime (38074285729).

It can be written as a sum of positive squares in only one way, i.e., 31631333904 + 6442951824 = 177852^2 + 80268^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (38074285727) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66100903 + ... + 66101478.

Almost surely, 238074285728 is an apocalyptic number.

It is an amenable number.

38074285728 is an abundant number, since it is smaller than the sum of its proper divisors (70199465130).

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

38074285728 is a wasteful number, since it uses less digits than its factorization.

38074285728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132202397 (or 132202386 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 38074285728 in words is "thirty-eight billion, seventy-four million, two hundred eighty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 132202381 264404762 396607143 528809524 793214286 1057619048 1189821429 1586428572 2115238096 2379642858 3172857144 4230476192 4759285716 6345714288 9518571432 12691428576 19037142864 38074285728