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38073040848 = 2433313776837
BaseRepresentation
bin100011011101010101…
…000111111111010000
310122021101010212111000
4203131111013333100
51110433144301343
625253541222000
72515325336043
oct433525077720
9118241125430
1038073040848
111516826a117
127466701900
133789a9cb4b
141bb26c6c5a
15ecc750ed3
hex8dd547fd0

38073040848 has 160 divisors (see below), whose sum is σ = 115859409920. Its totient is φ = 11949534720.

The previous prime is 38073040799. The next prime is 38073040861. The reversal of 38073040848 is 84804037083.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 457086 + ... + 533922.

It is an arithmetic number, because the mean of its divisors is an integer number (724121312).

Almost surely, 238073040848 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 38073040848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57929704960).

38073040848 is an abundant number, since it is smaller than the sum of its proper divisors (77786369072).

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

38073040848 is a wasteful number, since it uses less digits than its factorization.

38073040848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76922 (or 76910 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 38073040848 in words is "thirty-eight billion, seventy-three million, forty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 37 48 54 62 72 74 93 108 111 124 144 148 186 216 222 248 279 296 333 372 432 444 496 558 592 666 744 837 888 999 1116 1147 1332 1488 1674 1776 1998 2232 2294 2664 3348 3441 3996 4464 4588 5328 6696 6882 7992 9176 10323 13392 13764 15984 18352 20646 27528 30969 41292 55056 61938 76837 82584 123876 153674 165168 230511 247752 307348 461022 495504 614696 691533 922044 1229392 1383066 1844088 2074599 2381947 2766132 2842969 3688176 4149198 4763894 5532264 5685938 7145841 8298396 8528907 9527788 11064528 11371876 14291682 16596792 17057814 19055576 21437523 22743752 25586721 28583364 33193584 34115628 38111152 42875046 45487504 51173442 57166728 64312569 68231256 76760163 85750092 88132039 102346884 114333456 128625138 136462512 153520326 171500184 176264078 204693768 257250276 264396117 307040652 343000368 352528156 409387536 514500552 528792234 614081304 705056312 793188351 1029001104 1057584468 1228162608 1410112624 1586376702 2115168936 2379565053 3172753404 4230337872 4759130106 6345506808 9518260212 12691013616 19036520424 38073040848