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38064689088 = 2631492415521
BaseRepresentation
bin100011011100110101…
…010000111111000000
310122020210102120000120
4203130311100333000
51110424030022323
625253042220240
72515164342636
oct433465207700
9118223376016
1038064689088
1115163585338
127463954680
13378813758a
141bb1551356
15ecbb515e3
hex8dcd50fc0

38064689088 has 112 divisors (see below), whose sum is σ = 101827888800. Its totient is φ = 12548505600.

The previous prime is 38064689071. The next prime is 38064689111. The reversal of 38064689088 is 88098646083.

It is a super-2 number, since 2×380646890882 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6891768 + ... + 6897288.

Almost surely, 238064689088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38064689088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50913944400).

38064689088 is an abundant number, since it is smaller than the sum of its proper divisors (63763199712).

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

38064689088 is a wasteful number, since it uses less digits than its factorization.

38064689088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5926 (or 5916 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 60.

The spelling of 38064689088 in words is "thirty-eight billion, sixty-four million, six hundred eighty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 149 192 241 298 447 482 596 723 894 964 1192 1446 1788 1928 2384 2892 3576 3856 4768 5521 5784 7152 7712 9536 11042 11568 14304 15424 16563 22084 23136 28608 33126 35909 44168 46272 66252 71818 88336 107727 132504 143636 176672 215454 265008 287272 353344 430908 530016 574544 822629 861816 1060032 1149088 1330561 1645258 1723632 2298176 2467887 2661122 3290516 3447264 3991683 4935774 5322244 6581032 6894528 7983366 9871548 10644488 13162064 15966732 19743096 21288976 26324128 31933464 39486192 42577952 52648256 63866928 78972384 85155904 127733856 157944768 198253589 255467712 396507178 594760767 793014356 1189521534 1586028712 2379043068 3172057424 4758086136 6344114848 9516172272 12688229696 19032344544 38064689088