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38774083519164 = 22372391931364989
BaseRepresentation
bin10001101000011110010110…
…11110011000001010111100
312002021202200112210021011110
420310033023132120022330
520040233310340103124
6214244322411322020
711111222635636350
oct1064171336301274
9162252615707143
1038774083519164
1111399aa6343384
124422816150310
1318834c392c4c6
14980965ddb460
15473909b79029
hex2343cb7982bc

38774083519164 has 48 divisors (see below), whose sum is σ = 103830181862400. Its totient is φ = 11031956811456.

The previous prime is 38774083519123. The next prime is 38774083519183. The reversal of 38774083519164 is 46191538047783.

38774083519164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×387740835191642 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38774083519095 and 38774083519104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 965662419 + ... + 965702570.

It is an arithmetic number, because the mean of its divisors is an integer number (2163128788800).

Almost surely, 238774083519164 is an apocalyptic number.

It is an amenable number.

38774083519164 is an abundant number, since it is smaller than the sum of its proper divisors (65056098343236).

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

38774083519164 is a wasteful number, since it uses less digits than its factorization.

38774083519164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931365242 (or 1931365240 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 66.

The spelling of 38774083519164 in words is "thirty-eight trillion, seven hundred seventy-four billion, eighty-three million, five hundred nineteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 239 478 717 956 1434 1673 2868 3346 5019 6692 10038 20076 1931364989 3862729978 5794094967 7725459956 11588189934 13519554923 23176379868 27039109846 40558664769 54078219692 81117329538 162234659076 461596232371 923192464742 1384788697113 1846384929484 2769577394226 3231173626597 5539154788452 6462347253194 9693520879791 12924694506388 19387041759582 38774083519164