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38483944408 = 23713131457883
BaseRepresentation
bin100011110101110100…
…100110001111011000
310200100000022221012101
4203311310212033120
51112303342210113
625402420253144
72531445062440
oct436564461730
9120300287171
1038483944408
1115359202038
1275602411b4
133823c5b350
141c110c9120
15100386a2dd
hex8f5d263d8

38483944408 has 128 divisors (see below), whose sum is σ = 89784414720. Its totient is φ = 15058068480.

The previous prime is 38483944363. The next prime is 38483944439. The reversal of 38483944408 is 80444938483.

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 31 ways as a sum of consecutive naturals, for example, 43582735 + ... + 43583617.

It is an arithmetic number, because the mean of its divisors is an integer number (701440740).

Almost surely, 238483944408 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 38483944408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44892207360).

38483944408 is an abundant number, since it is smaller than the sum of its proper divisors (51300470312).

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

38483944408 is a wasteful number, since it uses less digits than its factorization.

38483944408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 55.

The spelling of 38483944408 in words is "thirty-eight billion, four hundred eighty-three million, nine hundred forty-four thousand, four hundred eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 131 182 262 364 457 524 728 883 914 917 1048 1703 1766 1828 1834 3199 3406 3532 3656 3668 5941 6181 6398 6812 7064 7336 11479 11882 11921 12362 12796 13624 22958 23764 23842 24724 25592 41587 45916 47528 47684 49448 59867 80353 83174 91832 95368 115673 119734 160706 166348 231346 239468 321412 332696 403531 419069 462692 478936 642824 778271 807062 809711 838138 925384 1503749 1556542 1614124 1619422 1676276 2824717 3007498 3113084 3228248 3238844 3352552 5245903 5447897 5649434 6014996 6226168 6477688 10491806 10526243 10895794 11298868 12029992 20983612 21052486 21791588 22597736 36721321 41967224 42104972 43583176 52862561 73442642 84209944 105725122 146885284 211450244 293770568 370037927 422900488 687213293 740075854 1374426586 1480151708 2748853172 2960303416 4810493051 5497706344 9620986102 19241972204 38483944408