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38550882109152 = 2537411171395223
BaseRepresentation
bin10001100001111110100111…
…01000100100011011100000
312001111102120020221211111010
420300333103220210123200
520023104201304443102
6213554010350420520
711056131540153510
oct1060772350443340
9161442506854433
1038550882109152
1111313378a27466
1243a7504501740
1318684428c216a
14973c3079d840
1546cbe48acd6c
hex230fd3a246e0

38550882109152 has 96 divisors (see below), whose sum is σ = 115655541990912. Its totient is φ = 11014261968384.

The previous prime is 38550882109063. The next prime is 38550882109153. The reversal of 38550882109152 is 25190128805583.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×385508821091523 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 38550882109092 and 38550882109101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38550882109153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26933013 + ... + 28328235.

It is an arithmetic number, because the mean of its divisors is an integer number (1204745229072).

Almost surely, 238550882109152 is an apocalyptic number.

38550882109152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38550882109152 is an abundant number, since it is smaller than the sum of its proper divisors (77104659881760).

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

38550882109152 is a wasteful number, since it uses less digits than its factorization.

38550882109152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436360 (or 1436352 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 57.

The spelling of 38550882109152 in words is "thirty-eight trillion, five hundred fifty billion, eight hundred eighty-two million, one hundred nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 41117 82234 123351 164468 246702 287819 328936 493404 575638 657872 863457 986808 1151276 1315744 1395223 1726914 1973616 2302552 2790446 3453828 3947232 4185669 4605104 5580892 6907656 8371338 9210208 9766561 11161784 13815312 16742676 19533122 22323568 27630624 29299683 33485352 39066244 44647136 58599366 66970704 78132488 117198732 133941408 156264976 234397464 312529952 468794928 937589856 57367384091 114734768182 172102152273 229469536364 344204304546 401571688637 458939072728 688408609092 803143377274 917878145456 1204715065911 1376817218184 1606286754548 1835756290912 2409430131822 2753634436368 3212573509096 4818860263644 5507268872736 6425147018192 9637720527288 12850294036384 19275441054576 38550882109152