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38973448248 = 23373112296089
BaseRepresentation
bin100100010010111111…
…111010000000111000
310201121010102022020020
4210102333322000320
51114304200320443
625523144130440
72546540562360
oct442277720070
9121533368206
1038973448248
111558a54a569
127678166a20
1338a14a9aa7
141c5a10b9a0
15103180d583
hex912ffa038

38973448248 has 128 divisors (see below), whose sum is σ = 115057152000. Its totient is φ = 10765532160.

The previous prime is 38973448231. The next prime is 38973448249. The reversal of 38973448248 is 84284437983.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 38973448191 and 38973448200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38973448249) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6397588 + ... + 6403676.

It is an arithmetic number, because the mean of its divisors is an integer number (898884000).

Almost surely, 238973448248 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 38973448248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57528576000).

38973448248 is an abundant number, since it is smaller than the sum of its proper divisors (76083703752).

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

38973448248 is a wasteful number, since it uses less digits than its factorization.

38973448248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7365 (or 7361 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 60.

The spelling of 38973448248 in words is "thirty-eight billion, nine hundred seventy-three million, four hundred forty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1229 1302 1736 2458 2604 3687 4916 5208 6089 7374 8603 9832 12178 14748 17206 18267 24356 25809 29496 34412 36534 38099 42623 48712 51618 68824 73068 76198 85246 103236 114297 127869 146136 152396 170492 188759 206472 228594 255738 266693 304792 340984 377518 457188 511476 533386 566277 755036 800079 914376 1022952 1066772 1132554 1321313 1510072 1600158 2133544 2265108 2642626 3200316 3963939 4530216 5285252 6400632 7483381 7927878 10570504 14966762 15855756 22450143 29933524 31711512 44900286 52383667 59867048 89800572 104767334 157151001 179601144 209534668 231984811 314302002 419069336 463969622 628604004 695954433 927939244 1257208008 1391908866 1623893677 1855878488 2783817732 3247787354 4871681031 5567635464 6495574708 9743362062 12991149416 19486724124 38973448248