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38758660267872 = 253523377151929
BaseRepresentation
bin10001101000000001101000…
…01011010101111101100000
312002020021212200012220212010
420310000310023111331200
520040010214012032442
6214233252133432520
711110135506315216
oct1064006413257540
9162207780186763
1038758660267872
1111393501315406
12441b830a9b740
131881c064c08cc
1497dd018bccb6
15473305b0bb9c
hex2340342d5f60

38758660267872 has 48 divisors (see below), whose sum is σ = 101760926808240. Its totient is φ = 12917084393472.

The previous prime is 38758660267729. The next prime is 38758660267897. The reversal of 38758660267872 is 27876206685783.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×387586602678722 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38758660267794 and 38758660267803.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 38073597 + ... + 39078332.

It is an arithmetic number, because the mean of its divisors is an integer number (2120019308505).

Almost surely, 238758660267872 is an apocalyptic number.

38758660267872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38758660267872 is an abundant number, since it is smaller than the sum of its proper divisors (63002266540368).

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

38758660267872 is a wasteful number, since it uses less digits than its factorization.

38758660267872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77157175 (or 77157167 counting only the distinct ones).

The product of its (nonzero) digits is 2275983360, while the sum is 75.

The spelling of 38758660267872 in words is "thirty-eight trillion, seven hundred fifty-eight billion, six hundred sixty million, two hundred sixty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 5233 10466 15699 20932 31398 41864 62796 83728 125592 167456 251184 502368 77151929 154303858 231455787 308607716 462911574 617215432 925823148 1234430864 1851646296 2468861728 3703292592 7406585184 403736044457 807472088914 1211208133371 1614944177828 2422416266742 3229888355656 4844832533484 6459776711312 9689665066968 12919553422624 19379330133936 38758660267872