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38574909768 = 23331478710831
BaseRepresentation
bin100011111011001111…
…100110100101001000
310200120100111110012210
4203323033212211020
51113000134103033
625415430105120
72533631215533
oct437317464510
9120510443183
1038574909768
11153a559271a
1275867ab1a0
133839a5a7c5
141c1d207a1a
15100b837d63
hex8fb3e6948

38574909768 has 64 divisors (see below), whose sum is σ = 99578142720. Its totient is φ = 12439771200.

The previous prime is 38574909743. The next prime is 38574909781. The reversal of 38574909768 is 86790947583.

It is a junction number, because it is equal to n+sod(n) for n = 38574909699 and 38574909708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3556113 + ... + 3566943.

It is an arithmetic number, because the mean of its divisors is an integer number (1555908480).

Almost surely, 238574909768 is an apocalyptic number.

It is an amenable number.

38574909768 is an abundant number, since it is smaller than the sum of its proper divisors (61003232952).

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

38574909768 is a wasteful number, since it uses less digits than its factorization.

38574909768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15658 (or 15654 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 66.

The spelling of 38574909768 in words is "thirty-eight billion, five hundred seventy-four million, nine hundred nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 4787 9574 10831 14361 19148 21662 28722 32493 38296 43324 57444 64986 86648 114888 129972 148397 259944 296794 335761 445191 593588 671522 890382 1007283 1187176 1343044 1780764 2014566 2686088 3561528 4029132 8058264 51847997 103695994 155543991 207391988 311087982 414783976 622175964 1244351928 1607287907 3214575814 4821863721 6429151628 9643727442 12858303256 19287454884 38574909768